264960901152 has 72 divisors (see below), whose sum is σ = 754860493296. Its totient is φ = 88158784896.

The previous prime is 264960901111. The next prime is 264960901213. The reversal of 264960901152 is 251109069462.

264960901152 is a `hidden beast` number, since 2 + 6 + 496 + 0 + 9 + 0 + 1 + 152 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 264960901098 and 264960901107.

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, 683418 + ... + 998489.

It is an arithmetic number, because the mean of its divisors is an integer number (10484173518).

Almost surely, 2^264960901152 is an apocalyptic number.

It is an amenable number.

264960901152 is an abundant number, since it is smaller than the sum of its proper divisors (489899592144).

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

264960901152 is a wasteful number, since it uses less digits than its factorization.

264960901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682470 (or 1682459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 264960901152 in words is "two hundred sixty-four billion, nine hundred sixty million, nine hundred one thousand, one hundred fifty-two".