51630537105600 has 336 divisors, whose sum is σ = 170006967072000. Its totient is φ = 13718134968320.

The previous prime is 51630537105593. The next prime is 51630537105701. The reversal of 51630537105600 is 650173503615.

51630537105600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 3741607501 + ... + 3741621299.

Almost surely, 2^{51630537105600} is an apocalyptic number.

51630537105600 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 51630537105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85003483536000).

51630537105600 is an abundant number, since it is smaller than the sum of its proper divisors (118376429966400).

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

51630537105600 is a wasteful number, since it uses less digits than its factorization.

51630537105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 51630537105600 in words is "fifty-one trillion, six hundred thirty billion, five hundred thirty-seven million, one hundred five thousand, six hundred".