51075531856800 has 864 divisors, whose sum is σ = 218985194675520. Its totient is φ = 11040244531200.

The previous prime is 51075531856703. The next prime is 51075531856807. The reversal of 51075531856800 is 865813557015.

51075531856800 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 553 + 1 + 8 + 5 + 6 + 80 + 0 = 666.

51075531856800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51075531856807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24583314 + ... + 26579886.

It is an arithmetic number, because the mean of its divisors is an integer number (253455086430).

Almost surely, 2^{51075531856800} is an apocalyptic number.

51075531856800 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 51075531856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492597337760).

51075531856800 is an abundant number, since it is smaller than the sum of its proper divisors (167909662818720).

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

51075531856800 is a wasteful number, since it uses less digits than its factorization.

51075531856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996646 (or 1996630 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 51075531856800 in words is "fifty-one trillion, seventy-five billion, five hundred thirty-one million, eight hundred fifty-six thousand, eight hundred".