253634691328704 has 84 divisors (see below), whose sum is σ = 830854911488784. Its totient is φ = 72467054664192.

The previous prime is 253634691328693. The next prime is 253634691328747. The reversal of 253634691328704 is 407823196436352.

253634691328704 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 346 + 9 + 1 + 3 + 287 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 31452710667 + ... + 31452718730.

It is an arithmetic number, because the mean of its divisors is an integer number (9891129898676).

It is a 1-persistent number, because it is pandigital, but 2⋅253634691328704 = 507269382657408 is not.

Almost surely, 2^{253634691328704} is an apocalyptic number.

253634691328704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253634691328704 is an abundant number, since it is smaller than the sum of its proper divisors (577220220160080).

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

253634691328704 is a wasteful number, since it uses less digits than its factorization.

253634691328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62905429422 (or 62905429409 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 253634691328704 in words is "two hundred fifty-three trillion, six hundred thirty-four billion, six hundred ninety-one million, three hundred twenty-eight thousand, seven hundred four".