51077984918400 has 576 divisors, whose sum is σ = 206190852940800. Its totient is φ = 12382539724800.

The previous prime is 51077984918399. The next prime is 51077984918413. The reversal of 51077984918400 is 481948977015.

51077984918400 is a `hidden beast` number, since 5 + 10 + 7 + 7 + 98 + 491 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5567841 + ... + 11539359.

It is an arithmetic number, because the mean of its divisors is an integer number (357970230800).

Almost surely, 2^{51077984918400} is an apocalyptic number.

51077984918400 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 51077984918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103095426470400).

51077984918400 is an abundant number, since it is smaller than the sum of its proper divisors (155112868022400).

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

51077984918400 is a wasteful number, since it uses less digits than its factorization.

51077984918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971569 (or 5971540 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 51077984918400 in words is "fifty-one trillion, seventy-seven billion, nine hundred eighty-four million, nine hundred eighteen thousand, four hundred".