99959515171200 has 384 divisors, whose sum is σ = 368494351236000. Its totient is φ = 26461299179520.

The previous prime is 99959515171127. The next prime is 99959515171247. The reversal of 99959515171200 is 217151595999.

99959515171200 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 95 + 1 + 517 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×99959515171200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7614396 + ... + 16059204.

Almost surely, 2^{99959515171200} is an apocalyptic number.

99959515171200 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 99959515171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184247175618000).

99959515171200 is an abundant number, since it is smaller than the sum of its proper divisors (268534836064800).

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

99959515171200 is a wasteful number, since it uses less digits than its factorization.

99959515171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444979 (or 8444956 counting only the distinct ones).

The product of its (nonzero) digits is 11481750, while the sum is 63.

The spelling of 99959515171200 in words is "ninety-nine trillion, nine hundred fifty-nine billion, five hundred fifteen million, one hundred seventy-one thousand, two hundred".