51983030836800 has 2016 divisors, whose sum is σ = 222475988180992. Its totient is φ = 11693352222720.

The previous prime is 51983030836747. The next prime is 51983030836817. The reversal of 51983030836800 is 863803038915.

It is a happy number.

51983030836800 is a `hidden beast` number, since 519 + 8 + 30 + 30 + 8 + 3 + 68 + 0 + 0 = 666.

51983030836800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×51983030836800³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58870929159 + ... + 58870930041.

Almost surely, 2^{51983030836800} is an apocalyptic number.

51983030836800 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 51983030836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111237994090496).

51983030836800 is an abundant number, since it is smaller than the sum of its proper divisors (170492957344192).

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

51983030836800 is a wasteful number, since it uses less digits than its factorization.

51983030836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 51983030836800 in words is "fifty-one trillion, nine hundred eighty-three billion, thirty million, eight hundred thirty-six thousand, eight hundred".