165516059520 has 384 divisors, whose sum is σ = 655779983040. Its totient is φ = 37682675712.

The previous prime is 165516059509. The next prime is 165516059557. The reversal of 165516059520 is 25950615561.

165516059520 is a `hidden beast` number, since 1 + 6 + 5 + 51 + 6 + 0 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10354254 + ... + 10370226.

Almost surely, 2^165516059520 is an apocalyptic number.

165516059520 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 165516059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327889991520).

165516059520 is an abundant number, since it is smaller than the sum of its proper divisors (490263923520).

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

165516059520 is a wasteful number, since it uses less digits than its factorization.

165516059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16262 (or 16247 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 165516059520 in words is "one hundred sixty-five billion, five hundred sixteen million, fifty-nine thousand, five hundred twenty".