204295290872160 has 96 divisors (see below), whose sum is σ = 643536391488480. Its totient is φ = 54478217228288.

The previous prime is 204295290872119. The next prime is 204295290872191. The reversal of 204295290872160 is 61278092592402.

204295290872160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×204295290872160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204295290872160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48926764 + ... + 52937876.

It is an arithmetic number, because the mean of its divisors is an integer number (6703504078005).

Almost surely, 2^{204295290872160} is an apocalyptic number.

204295290872160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204295290872160 is an abundant number, since it is smaller than the sum of its proper divisors (439241100616320).

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

204295290872160 is a wasteful number, since it uses less digits than its factorization.

204295290872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117240 (or 4117232 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 204295290872160 in words is "two hundred four trillion, two hundred ninety-five billion, two hundred ninety million, eight hundred seventy-two thousand, one hundred sixty".