51338125080 has 256 divisors, whose sum is σ = 188052710400. Its totient is φ = 12354370560.

The previous prime is 51338125061. The next prime is 51338125093. The reversal of 51338125080 is 8052183315.

51338125080 is a `hidden beast` number, since 5 + 133 + 8 + 12 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611789 + ... + 1643331.

It is an arithmetic number, because the mean of its divisors is an integer number (734580900).

Almost surely, 2^51338125080 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 51338125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94026355200).

51338125080 is an abundant number, since it is smaller than the sum of its proper divisors (136714585320).

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

51338125080 is a wasteful number, since it uses less digits than its factorization.

51338125080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31711 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51338125080 in words is "fifty-one billion, three hundred thirty-eight million, one hundred twenty-five thousand, eighty".