51089675680 has 96 divisors (see below), whose sum is σ = 127880363520. Its totient is φ = 19221565440.

The previous prime is 51089675671. The next prime is 51089675723. The reversal of 51089675680 is 8657698015.

51089675680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51089675680² (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 15 ways as a sum of consecutive naturals, for example, 5084101 + ... + 5094139.

It is an arithmetic number, because the mean of its divisors is an integer number (1332087120).

Almost surely, 2^51089675680 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 51089675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63940181760).

51089675680 is an abundant number, since it is smaller than the sum of its proper divisors (76790687840).

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

51089675680 is a wasteful number, since it uses less digits than its factorization.

51089675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 51089675680 in words is "fifty-one billion, eighty-nine million, six hundred seventy-five thousand, six hundred eighty".