99530112165120 has 6912 divisors, whose sum is σ = 487047433420800. Its totient is φ = 19024619765760.

The previous prime is 99530112165103. The next prime is 99530112165163. The reversal of 99530112165120 is 2156121103599.

99530112165120 is a `hidden beast` number, since 9 + 9 + 5 + 3 + 0 + 1 + 121 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×99530112165120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 930187964107 + ... + 930187964213.

It is an arithmetic number, because the mean of its divisors is an integer number (70464038400).

Almost surely, 2^{99530112165120} is an apocalyptic number.

99530112165120 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 99530112165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243523716710400).

99530112165120 is an abundant number, since it is smaller than the sum of its proper divisors (387517321255680).

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

99530112165120 is a wasteful number, since it uses less digits than its factorization.

99530112165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 99530112165120 in words is "ninety-nine trillion, five hundred thirty billion, one hundred twelve million, one hundred sixty-five thousand, one hundred twenty".