51616050601600 has 96 divisors (see below), whose sum is σ = 129913582504140. Its totient is φ = 20256865075200.

The previous prime is 51616050601559. The next prime is 51616050601603. The reversal of 51616050601600 is 610605061615.

51616050601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 26185653964864 + 25430396636736 = 5117192^2 + 5042856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51616050601600.

It is not an unprimeable number, because it can be changed into a prime (51616050601603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 152000361 + ... + 152339560.

Almost surely, 2^{51616050601600} is an apocalyptic number.

51616050601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51616050601600 is an abundant number, since it is smaller than the sum of its proper divisors (78297531902540).

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

51616050601600 is a wasteful number, since it uses less digits than its factorization.

51616050601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304339998 (or 304339981 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 51616050601600 in words is "fifty-one trillion, six hundred sixteen billion, fifty million, six hundred one thousand, six hundred".