51616877184576 has 252 divisors, whose sum is σ = 162776738245212. Its totient is φ = 15626713344000.

The previous prime is 51616877184491. The next prime is 51616877184581. The reversal of 51616877184576 is 67548177861615.

51616877184576 is a `hidden beast` number, since 5 + 1 + 6 + 168 + 7 + 7 + 1 + 8 + 457 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32142096360000 + 19474780824576 = 5669400^2 + 4413024^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73598446 + ... + 74296466.

It is an arithmetic number, because the mean of its divisors is an integer number (645939437481).

Almost surely, 2^{51616877184576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51616877184576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81388369122606).

51616877184576 is an abundant number, since it is smaller than the sum of its proper divisors (111159861060636).

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

51616877184576 is a wasteful number, since it uses less digits than its factorization.

51616877184576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699122 (or 699098 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 51616877184576 in words is "fifty-one trillion, six hundred sixteen billion, eight hundred seventy-seven million, one hundred eighty-four thousand, five hundred seventy-six".