51788726092800 has 792 divisors, whose sum is σ = 196986961840032. Its totient is φ = 13473423360000.

The previous prime is 51788726092793. The next prime is 51788726092801. The reversal of 51788726092800 is 829062788715.

51788726092800 is a `hidden beast` number, since 5 + 17 + 8 + 8 + 7 + 2 + 609 + 2 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (51788726092801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254951275 + ... + 255154325.

Almost surely, 2^{51788726092800} is an apocalyptic number.

51788726092800 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 51788726092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98493480920016).

51788726092800 is an abundant number, since it is smaller than the sum of its proper divisors (145198235747232).

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

51788726092800 is a wasteful number, since it uses less digits than its factorization.

51788726092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203137 (or 203102 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 51788726092800 in words is "fifty-one trillion, seven hundred eighty-eight billion, seven hundred twenty-six million, ninety-two thousand, eight hundred".