272599560090 has 96 divisors (see below), whose sum is σ = 832667786496. Its totient is φ = 61001297280.

The previous prime is 272599560043. The next prime is 272599560151. The reversal of 272599560090 is 90065995272.

It is a happy number.

272599560090 is a `hidden beast` number, since 2 + 7 + 25 + 9 + 9 + 5 + 600 + 9 + 0 = 666.

It is a super-2 number, since 2×272599560090² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10577634 + ... + 10603373.

It is an arithmetic number, because the mean of its divisors is an integer number (8673622776).

Almost surely, 2^272599560090 is an apocalyptic number.

272599560090 is an abundant number, since it is smaller than the sum of its proper divisors (560068226406).

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

272599560090 is a wasteful number, since it uses less digits than its factorization.

272599560090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181044 (or 21181041 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 272599560090 in words is "two hundred seventy-two billion, five hundred ninety-nine million, five hundred sixty thousand, ninety".