275054164272 has 120 divisors (see below), whose sum is σ = 784830106944. Its totient is φ = 89905462272.

The previous prime is 275054164249. The next prime is 275054164313. The reversal of 275054164272 is 272461450572.

275054164272 is a `hidden beast` number, since 27 + 5 + 0 + 541 + 64 + 27 + 2 = 666.

It is a super-2 number, since 2×275054164272² (a number of 24 digits) contains 22 as substring.

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, 1742953 + ... + 1894199.

Almost surely, 2^275054164272 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 275054164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392415053472).

275054164272 is an abundant number, since it is smaller than the sum of its proper divisors (509775942672).

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

275054164272 is a wasteful number, since it uses less digits than its factorization.

275054164272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151507 (or 151498 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 275054164272 in words is "two hundred seventy-five billion, fifty-four million, one hundred sixty-four thousand, two hundred seventy-two".