51190766499600 has 4800 divisors, whose sum is σ = 257395900608000. Its totient is φ = 9621557084160.

The previous prime is 51190766499569. The next prime is 51190766499601. The reversal of 51190766499600 is 699466709115.

51190766499600 is a `hidden beast` number, since 5 + 1 + 19 + 0 + 7 + 6 + 6 + 4 + 9 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51190766499601) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 46664326252 + ... + 46664327348.

It is an arithmetic number, because the mean of its divisors is an integer number (53624145960).

Almost surely, 2^{51190766499600} is an apocalyptic number.

51190766499600 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 51190766499600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128697950304000).

51190766499600 is an abundant number, since it is smaller than the sum of its proper divisors (206205134108400).

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

51190766499600 is a wasteful number, since it uses less digits than its factorization.

51190766499600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 51190766499600 in words is "fifty-one trillion, one hundred ninety billion, seven hundred sixty-six million, four hundred ninety-nine thousand, six hundred".