204045207190272 has 1152 divisors, whose sum is σ = 709968807475200. Its totient is φ = 56604616556544.

The previous prime is 204045207190229. The next prime is 204045207190327. The reversal of 204045207190272 is 272091702540402.

204045207190272 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 452 + 0 + 7 + 190 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×204045207190272² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108708154198 + ... + 108708156074.

It is an arithmetic number, because the mean of its divisors is an integer number (616292367600).

Almost surely, 2^{204045207190272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204045207190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354984403737600).

204045207190272 is an abundant number, since it is smaller than the sum of its proper divisors (505923600284928).

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

204045207190272 is a wasteful number, since it uses less digits than its factorization.

204045207190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 204045207190272 in words is "two hundred four trillion, forty-five billion, two hundred seven million, one hundred ninety thousand, two hundred seventy-two".