165295504512 has 192 divisors, whose sum is σ = 487462131000. Its totient is φ = 53742993408.

The previous prime is 165295504501. The next prime is 165295504513. The reversal of 165295504512 is 215405592561.

165295504512 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 95 + 504 + 51 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157405801536 + 7889702976 = 396744^2 + 88824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×165295504512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165295504513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10554864 + ... + 10570512.

Almost surely, 2^165295504512 is an apocalyptic number.

165295504512 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 165295504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243731065500).

165295504512 is an abundant number, since it is smaller than the sum of its proper divisors (322166626488).

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

165295504512 is a wasteful number, since it uses less digits than its factorization.

165295504512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15895 (or 15880 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 165295504512 in words is "one hundred sixty-five billion, two hundred ninety-five million, five hundred four thousand, five hundred twelve".