51624771600 has 240 divisors, whose sum is σ = 167838757632. Its totient is φ = 13562196480.

The previous prime is 51624771599. The next prime is 51624771643. The reversal of 51624771600 is 617742615.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58464759 + ... + 58465641.

Almost surely, 2^51624771600 is an apocalyptic number.

51624771600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51624771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83919378816).

51624771600 is an abundant number, since it is smaller than the sum of its proper divisors (116213986032).

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

51624771600 is a wasteful number, since it uses less digits than its factorization.

51624771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 51624771600 in words is "fifty-one billion, six hundred twenty-four million, seven hundred seventy-one thousand, six hundred".