165504877600 has 144 divisors (see below), whose sum is σ = 417997887048. Its totient is φ = 63940976640.

The previous prime is 165504877583. The next prime is 165504877621. The reversal of 165504877600 is 6778405561.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 101574789264 + 63930088336 = 318708^2 + 252844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4034794 + ... + 4075606.

Almost surely, 2^165504877600 is an apocalyptic number.

165504877600 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 165504877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208998943524).

165504877600 is an abundant number, since it is smaller than the sum of its proper divisors (252493009448).

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

165504877600 is a wasteful number, since it uses less digits than its factorization.

165504877600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41007 (or 40994 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 165504877600 in words is "one hundred sixty-five billion, five hundred four million, eight hundred seventy-seven thousand, six hundred".