10574314272 has 72 divisors (see below), whose sum is σ = 31040755200. Its totient is φ = 3411066240.

The previous prime is 10574314243. The next prime is 10574314307. The reversal of 10574314272 is 27241347501.

10574314272 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 314 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10574314272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583272 + ... + 601127.

It is an arithmetic number, because the mean of its divisors is an integer number (431121600).

Almost surely, 2^10574314272 is an apocalyptic number.

10574314272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10574314272 is an abundant number, since it is smaller than the sum of its proper divisors (20466440928).

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

10574314272 is a wasteful number, since it uses less digits than its factorization.

10574314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184446 (or 1184435 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10574314272 in words is "ten billion, five hundred seventy-four million, three hundred fourteen thousand, two hundred seventy-two".