165625972992 has 288 divisors, whose sum is σ = 508710720000. Its totient is φ = 53090795520.

The previous prime is 165625972961. The next prime is 165625972997. The reversal of 165625972992 is 299279526561.

165625972992 is a `hidden beast` number, since 16 + 5 + 6 + 2 + 597 + 29 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (165625972997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54319884 + ... + 54322932.

Almost surely, 2^165625972992 is an apocalyptic number.

165625972992 is a gapful number since it is divisible by the number (12) 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 165625972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254355360000).

165625972992 is an abundant number, since it is smaller than the sum of its proper divisors (343084747008).

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

165625972992 is a wasteful number, since it uses less digits than its factorization.

165625972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3354 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 165625972992 in words is "one hundred sixty-five billion, six hundred twenty-five million, nine hundred seventy-two thousand, nine hundred ninety-two".