51211260856800 has 324 divisors, whose sum is σ = 198492840098280. Its totient is φ = 12414850905600.

The previous prime is 51211260856771. The next prime is 51211260856933. The reversal of 51211260856800 is 865806211215.

51211260856800 is a `hidden beast` number, since 5 + 1 + 21 + 1 + 2 + 60 + 8 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 28520020 + ... + 30262419.

Almost surely, 2^{51211260856800} is an apocalyptic number.

51211260856800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51211260856800 is an abundant number, since it is smaller than the sum of its proper divisors (147281579241480).

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

51211260856800 is a wasteful number, since it uses less digits than its factorization.

51211260856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58782487 (or 58782460 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51211260856800 in words is "fifty-one trillion, two hundred eleven billion, two hundred sixty million, eight hundred fifty-six thousand, eight hundred".