79955606160 has 120 divisors (see below), whose sum is σ = 268620987960. Its totient is φ = 21313284096.

The previous prime is 79955606111. The next prime is 79955606161. The reversal of 79955606160 is 6160655997.

79955606160 is a `hidden beast` number, since 79 + 9 + 5 + 560 + 6 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269091216 + 79686514944 = 16404^2 + 282288^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×79955606160³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79955606097 and 79955606106.

It is not an unprimeable number, because it can be changed into a prime (79955606161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1979446 + ... + 2019434.

It is an arithmetic number, because the mean of its divisors is an integer number (2238508233).

Almost surely, 2^79955606160 is an apocalyptic number.

It is an amenable number.

79955606160 is an abundant number, since it is smaller than the sum of its proper divisors (188665381800).

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

79955606160 is a wasteful number, since it uses less digits than its factorization.

79955606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42785 (or 42776 counting only the distinct ones).

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

The spelling of 79955606160 in words is "seventy-nine billion, nine hundred fifty-five million, six hundred six thousand, one hundred sixty".