165257164800 has 1296 divisors, whose sum is σ = 742747070520. Its totient is φ = 34805514240.

The previous prime is 165257164777. The next prime is 165257164801. The reversal of 165257164800 is 8461752561.

165257164800 is a `hidden beast` number, since 16 + 5 + 2 + 571 + 64 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165257164801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293529319 + ... + 293529881.

Almost surely, 2^165257164800 is an apocalyptic number.

165257164800 is a gapful number since it is divisible by the number (10) 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 165257164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371373535260).

165257164800 is an abundant number, since it is smaller than the sum of its proper divisors (577489905720).

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

165257164800 is a wasteful number, since it uses less digits than its factorization.

165257164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 165257164800 in words is "one hundred sixty-five billion, two hundred fifty-seven million, one hundred sixty-four thousand, eight hundred".