51901157425824 has 1152 divisors, whose sum is σ = 179990337945600. Its totient is φ = 13876902789120.

The previous prime is 51901157425813. The next prime is 51901157425841. The reversal of 51901157425824 is 42852475110915.

51901157425824 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 1 + 1 + 57 + 4 + 2 + 582 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64154705932 + ... + 64154706740.

It is an arithmetic number, because the mean of its divisors is an integer number (156241612800).

Almost surely, 2^{51901157425824} 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 51901157425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89995168972800).

51901157425824 is an abundant number, since it is smaller than the sum of its proper divisors (128089180519776).

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

51901157425824 is a wasteful number, since it uses less digits than its factorization.

51901157425824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 51901157425824 in words is "fifty-one trillion, nine hundred one billion, one hundred fifty-seven million, four hundred twenty-five thousand, eight hundred twenty-four".