51289504560 has 480 divisors, whose sum is σ = 216163164672. Its totient is φ = 11033210880.

The previous prime is 51289504537. The next prime is 51289504579. The reversal of 51289504560 is 6540598215.

51289504560 is a `hidden beast` number, since 5 + 1 + 2 + 89 + 5 + 0 + 4 + 560 = 666.

It is a super-2 number, since 2×51289504560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2302275 + ... + 2324445.

Almost surely, 2^51289504560 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 51289504560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108081582336).

51289504560 is an abundant number, since it is smaller than the sum of its proper divisors (164873660112).

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

51289504560 is a wasteful number, since it uses less digits than its factorization.

51289504560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22223 (or 22205 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 51289504560 in words is "fifty-one billion, two hundred eighty-nine million, five hundred four thousand, five hundred sixty".