99925032960 has 408 divisors, whose sum is σ = 357905618304. Its totient is φ = 25763512320.

The previous prime is 99925032943. The next prime is 99925032971. The reversal of 99925032960 is 6923052999.

99925032960 is a `hidden beast` number, since 9 + 9 + 9 + 250 + 329 + 60 = 666.

It is a super-3 number, since 3×99925032960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99925032897 and 99925032906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91422174 + ... + 91423266.

Almost surely, 2^99925032960 is an apocalyptic number.

99925032960 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 99925032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178952809152).

99925032960 is an abundant number, since it is smaller than the sum of its proper divisors (257980585344).

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

99925032960 is a wasteful number, since it uses less digits than its factorization.

99925032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 99925032960 in words is "ninety-nine billion, nine hundred twenty-five million, thirty-two thousand, nine hundred sixty".