51180857449920 has 1792 divisors, whose sum is σ = 202814423285760. Its totient is φ = 12046886092800.

The previous prime is 51180857449919. The next prime is 51180857449921. The reversal of 51180857449920 is 2994475808115.

51180857449920 is a `hidden beast` number, since 5 + 1 + 18 + 0 + 8 + 574 + 49 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51180857449919) and next prime (51180857449921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180857449921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137214094854 + ... + 137214095226.

Almost surely, 2^{51180857449920} 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 51180857449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101407211642880).

51180857449920 is an abundant number, since it is smaller than the sum of its proper divisors (151633565835840).

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

51180857449920 is a wasteful number, since it uses less digits than its factorization.

51180857449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 51180857449920 in words is "fifty-one trillion, one hundred eighty billion, eight hundred fifty-seven million, four hundred forty-nine thousand, nine hundred twenty".