51600611600 has 60 divisors (see below), whose sum is σ = 124875495924. Its totient is φ = 20489564160.

The previous prime is 51600611599. The next prime is 51600611633. The reversal of 51600611600 is 611600615.

It can be written as a sum of positive squares in 6 ways, for example, as 1655513344 + 49945098256 = 40688^2 + 223484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51600611600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416009 + ... + 525608.

Almost surely, 2^51600611600 is an apocalyptic number.

51600611600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51600611600 is an abundant number, since it is smaller than the sum of its proper divisors (73274884324).

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

51600611600 is a wasteful number, since it uses less digits than its factorization.

51600611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941772 (or 941761 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 51600611600 in words is "fifty-one billion, six hundred million, six hundred eleven thousand, six hundred".