79559640900 has 108 divisors (see below), whose sum is σ = 254080620612. Its totient is φ = 20815591680.

The previous prime is 79559640869. The next prime is 79559640913. The reversal of 79559640900 is 904695597.

79559640900 is a `hidden beast` number, since 7 + 9 + 5 + 596 + 40 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 343286784 + 79216354116 = 18528^2 + 281454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 786259 + ... + 881658.

It is an arithmetic number, because the mean of its divisors is an integer number (2352598339).

Almost surely, 2^79559640900 is an apocalyptic number.

It is an amenable number.

79559640900 is an abundant number, since it is smaller than the sum of its proper divisors (174520979712).

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

79559640900 is a wasteful number, since it uses less digits than its factorization.

79559640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667990 (or 1667980 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 79559640900 in words is "seventy-nine billion, five hundred fifty-nine million, six hundred forty thousand, nine hundred".