51582687680 has 112 divisors (see below), whose sum is σ = 125752457664. Its totient is φ = 20148019200.

The previous prime is 51582687661. The next prime is 51582687731. The reversal of 51582687680 is 8678628515.

It is a happy number.

It is a congruent number.

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, 2348429 + ... + 2370291.

Almost surely, 2^51582687680 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 51582687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62876228832).

51582687680 is an abundant number, since it is smaller than the sum of its proper divisors (74169769984).

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

51582687680 is a wasteful number, since it uses less digits than its factorization.

51582687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22054 (or 22044 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 51582687680 in words is "fifty-one billion, five hundred eighty-two million, six hundred eighty-seven thousand, six hundred eighty".