165212257392 has 640 divisors, whose sum is σ = 617060505600. Its totient is φ = 41099083776.

The previous prime is 165212257391. The next prime is 165212257409. The reversal of 165212257392 is 293752212561.

165212257392 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 1 + 2 + 257 + 392 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165212257391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278603848 + ... + 278604440.

It is an arithmetic number, because the mean of its divisors is an integer number (964157040).

Almost surely, 2^165212257392 is an apocalyptic number.

165212257392 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 165212257392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308530252800).

165212257392 is an abundant number, since it is smaller than the sum of its proper divisors (451848248208).

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

165212257392 is a wasteful number, since it uses less digits than its factorization.

165212257392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 165212257392 in words is "one hundred sixty-five billion, two hundred twelve million, two hundred fifty-seven thousand, three hundred ninety-two".