99980001000000 has 2205 divisors, whose sum is σ = 411271781220223. Its totient is φ = 23997600000000.

The previous prime is 99980000999981. The next prime is 99980001000007. The reversal of 99980001000000 is 10008999.

The square root of 99980001000000 is 9999000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 97430639524416 + 2549361475584 = 9870696^2 + 1596672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99980001000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 989900999950 + ... + 989901000050.

Almost surely, 2^{99980001000000} is an apocalyptic number.

99980001000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99980001000000 is the 9999000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99980001000000

99980001000000 is an abundant number, since it is smaller than the sum of its proper divisors (311291780220223).

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

99980001000000 is an frugal number, since it uses more digits than its factorization.

99980001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

99980001000000 divided by its sum of digits (36) gives a square (2777222250000 = 1666500²).

Adding to 99980001000000 its reverse (10008999), we get a palindrome (99980011008999).

The spelling of 99980001000000 in words is "ninety-nine trillion, nine hundred eighty billion, one million", and thus it is an aban number.