51357687264 has 72 divisors (see below), whose sum is σ = 157282928712. Its totient is φ = 15802364160.

The previous prime is 51357687209. The next prime is 51357687281. The reversal of 51357687264 is 46278675315.

51357687264 is a `hidden beast` number, since 5 + 1 + 3 + 576 + 8 + 7 + 2 + 64 = 666.

51357687264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×51357687264² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51357687264.

It is a congruent number.

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, 6854922 + ... + 6862409.

It is an arithmetic number, because the mean of its divisors is an integer number (2184485121).

Almost surely, 2^51357687264 is an apocalyptic number.

It is an amenable number.

51357687264 is an abundant number, since it is smaller than the sum of its proper divisors (105925241448).

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

51357687264 is a wasteful number, since it uses less digits than its factorization.

51357687264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717360 (or 13717349 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 51357687264 in words is "fifty-one billion, three hundred fifty-seven million, six hundred eighty-seven thousand, two hundred sixty-four".