51402722724864 has 264 divisors, whose sum is σ = 169747217569280. Its totient is φ = 14676145201152.

The previous prime is 51402722724797. The next prime is 51402722724877. The reversal of 51402722724864 is 46842722720415.

51402722724864 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 272 + 272 + 48 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51402722724864.

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, 91520607 + ... + 92080545.

Almost surely, 2^{51402722724864} 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 51402722724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84873608784640).

51402722724864 is an abundant number, since it is smaller than the sum of its proper divisors (118344494844416).

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

51402722724864 is a wasteful number, since it uses less digits than its factorization.

51402722724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561395 (or 561374 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 51402722724864 in words is "fifty-one trillion, four hundred two billion, seven hundred twenty-two million, seven hundred twenty-four thousand, eight hundred sixty-four".