51880971744 has 240 divisors, whose sum is σ = 174682569600. Its totient is φ = 14797230336.

The previous prime is 51880971679. The next prime is 51880971757. The reversal of 51880971744 is 44717908815.

51880971744 is a `hidden beast` number, since 518 + 80 + 9 + 7 + 1 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11954727 + ... + 11959065.

It is an arithmetic number, because the mean of its divisors is an integer number (727844040).

Almost surely, 2^51880971744 is an apocalyptic number.

51880971744 is a gapful number since it is divisible by the number (54) 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 51880971744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87341284800).

51880971744 is an abundant number, since it is smaller than the sum of its proper divisors (122801597856).

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

51880971744 is a wasteful number, since it uses less digits than its factorization.

51880971744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 51880971744 in words is "fifty-one billion, eight hundred eighty million, nine hundred seventy-one thousand, seven hundred forty-four".