51307568760 has 576 divisors, whose sum is σ = 192642991200. Its totient is φ = 10896850944.

The previous prime is 51307568749. The next prime is 51307568771. The reversal of 51307568760 is 6786570315.

It is an interprime number because it is at equal distance from previous prime (51307568749) and next prime (51307568771).

It is a super-2 number, since 2×51307568760² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185225742 + ... + 185226018.

Almost surely, 2^51307568760 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 51307568760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96321495600).

51307568760 is an abundant number, since it is smaller than the sum of its proper divisors (141335422440).

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

51307568760 is a wasteful number, since it uses less digits than its factorization.

51307568760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 51307568760 in words is "fifty-one billion, three hundred seven million, five hundred sixty-eight thousand, seven hundred sixty".