51624838520 has 64 divisors (see below), whose sum is σ = 118952396640. Its totient is φ = 20153548800.

The previous prime is 51624838511. The next prime is 51624838567. The reversal of 51624838520 is 2583842615.

It is a Cunningham number, because it is equal to 227211²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260760 + ... + 2283480.

Almost surely, 2^51624838520 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 51624838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59476198320).

51624838520 is an abundant number, since it is smaller than the sum of its proper divisors (67327558120).

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

51624838520 is a wasteful number, since it uses less digits than its factorization.

51624838520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24096 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 51624838520 in words is "fifty-one billion, six hundred twenty-four million, eight hundred thirty-eight thousand, five hundred twenty".