99734000256000 has 3168 divisors, whose sum is σ = 409985960791680. Its totient is φ = 23284039680000.

The previous prime is 99734000255983. The next prime is 99734000256049. The reversal of 99734000256000 is 65200043799.

It is a happy number.

99734000256000 is a `hidden beast` number, since 9 + 9 + 7 + 34 + 0 + 0 + 0 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 551016575910 + ... + 551016576090.

Almost surely, 2^{99734000256000} is an apocalyptic number.

99734000256000 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 99734000256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204992980395840).

99734000256000 is an abundant number, since it is smaller than the sum of its proper divisors (310251960535680).

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

99734000256000 is a wasteful number, since it uses less digits than its factorization.

99734000256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

Adding to 99734000256000 its reverse (65200043799), we get a palindrome (99799200299799).

The spelling of 99734000256000 in words is "ninety-nine trillion, seven hundred thirty-four billion, two hundred fifty-six thousand".