51798316780800 has 648 divisors, whose sum is σ = 197354220021504. Its totient is φ = 12931195453440.

The previous prime is 51798316780739. The next prime is 51798316780801. The reversal of 51798316780800 is 808761389715.

51798316780800 is a `hidden beast` number, since 5 + 179 + 8 + 316 + 78 + 0 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51798316780801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 61849654 + ... + 62681546.

Almost surely, 2^{51798316780800} is an apocalyptic number.

51798316780800 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 51798316780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98677110010752).

51798316780800 is an abundant number, since it is smaller than the sum of its proper divisors (145555903240704).

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

51798316780800 is a wasteful number, since it uses less digits than its factorization.

51798316780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831995 (or 831973 counting only the distinct ones).

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

The spelling of 51798316780800 in words is "fifty-one trillion, seven hundred ninety-eight billion, three hundred sixteen million, seven hundred eighty thousand, eight hundred".