99982293138000 has 3500 divisors, whose sum is σ = 458093267159268. Its totient is φ = 21095165145600.

The previous prime is 99982293137983. The next prime is 99982293138031. The reversal of 99982293138000 is 83139228999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

99982293138000 is a `hidden beast` number, since 9 + 9 + 98 + 229 + 313 + 8 + 0 + 0 + 0 = 666.

99982293138000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 67978969644096 + 32003323493904 = 8244936^2 + 5657148^2 .

It is a tau number, because it is divible by the number of its divisors (3500).

It is a super-2 number, since 2×99982293138000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 99982293138000 = 2730³ + 46410³ = 20475³ + 45045³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 699 ways as a sum of consecutive naturals, for example, 7690945625994 + ... + 7690945626006.

Almost surely, 2^{99982293138000} is an apocalyptic number.

99982293138000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99982293138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229046633579634).

99982293138000 is an abundant number, since it is smaller than the sum of its proper divisors (358110974021268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99982293138000 is an frugal number, since it uses more digits than its factorization.

99982293138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 99982293138000 in words is "ninety-nine trillion, nine hundred eighty-two billion, two hundred ninety-three million, one hundred thirty-eight thousand".