51564280819392 has 672 divisors, whose sum is σ = 176873693008320. Its totient is φ = 14668944998400.

The previous prime is 51564280819379. The next prime is 51564280819439. The reversal of 51564280819392 is 29391808246515.

51564280819392 is a `hidden beast` number, since 5 + 1 + 56 + 42 + 80 + 81 + 9 + 392 = 666.

It is a super-2 number, since 2×51564280819392² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1411116642 + ... + 1411153182.

It is an arithmetic number, because the mean of its divisors is an integer number (263204900310).

Almost surely, 2^{51564280819392} 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 51564280819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88436846504160).

51564280819392 is an abundant number, since it is smaller than the sum of its proper divisors (125309412188928).

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

51564280819392 is a wasteful number, since it uses less digits than its factorization.

51564280819392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36998 (or 36971 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 51564280819392 in words is "fifty-one trillion, five hundred sixty-four billion, two hundred eighty million, eight hundred nineteen thousand, three hundred ninety-two".