51047407756800 has 4320 divisors, whose sum is σ = 239647840413696. Its totient is φ = 10144382976000.

The previous prime is 51047407756799. The next prime is 51047407756801. The reversal of 51047407756800 is 865770474015.

51047407756800 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 7 + 4 + 0 + 77 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51047407756799) and next prime (51047407756801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51047407756801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 181663372660 + ... + 181663372940.

Almost surely, 2^{51047407756800} is an apocalyptic number.

51047407756800 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 51047407756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119823920206848).

51047407756800 is an abundant number, since it is smaller than the sum of its proper divisors (188600432656896).

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

51047407756800 is a wasteful number, since it uses less digits than its factorization.

51047407756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 51047407756800 in words is "fifty-one trillion, forty-seven billion, four hundred seven million, seven hundred fifty-six thousand, eight hundred".