51005010000560 has 480 divisors, whose sum is σ = 154821762897984. Its totient is φ = 15443226624000.

The previous prime is 51005010000551. The next prime is 51005010000587. The reversal of 51005010000560 is 6500001050015.

It is a super-2 number, since 2×51005010000560² (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, 411863450 + ... + 411987270.

Almost surely, 2^{51005010000560} 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 51005010000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77410881448992).

51005010000560 is an abundant number, since it is smaller than the sum of its proper divisors (103816752897424).

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

51005010000560 is a wasteful number, since it uses less digits than its factorization.

51005010000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124133 (or 124120 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 51005010000560 its reverse (6500001050015), we get a palindrome (57505011050575).

The spelling of 51005010000560 in words is "fifty-one trillion, five billion, ten million, five hundred sixty", and thus it is an aban number.