51007607568 has 360 divisors, whose sum is σ = 156850514496. Its totient is φ = 15463526400.

The previous prime is 51007607531. The next prime is 51007607641. The reversal of 51007607568 is 86570670015.

51007607568 is a `hidden beast` number, since 5 + 10 + 0 + 76 + 0 + 7 + 568 = 666.

It is a super-2 number, since 2×51007607568² (a number of 22 digits) contains 22 as substring.

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, 180238755 + ... + 180239037.

Almost surely, 2^51007607568 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 51007607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78425257248).

51007607568 is an abundant number, since it is smaller than the sum of its proper divisors (105842906928).

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

51007607568 is a wasteful number, since it uses less digits than its factorization.

51007607568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 51007607568 in words is "fifty-one billion, seven million, six hundred seven thousand, five hundred sixty-eight".