51904006560 has 432 divisors, whose sum is σ = 210844329696. Its totient is φ = 11587193856.

The previous prime is 51904006559. The next prime is 51904006571. The reversal of 51904006560 is 6560040915.

51904006560 is a `hidden beast` number, since 5 + 1 + 90 + 4 + 0 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3025527 + ... + 3042633.

It is an arithmetic number, because the mean of its divisors is an integer number (488065578).

Almost surely, 2^51904006560 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 51904006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105422164848).

51904006560 is an abundant number, since it is smaller than the sum of its proper divisors (158940323136).

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

51904006560 is a wasteful number, since it uses less digits than its factorization.

51904006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17185 (or 17167 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51904006560 in words is "fifty-one billion, nine hundred four million, six thousand, five hundred sixty".