79057809250560 has 576 divisors, whose sum is σ = 339483551500800. Its totient is φ = 17007393374208.

The previous prime is 79057809250559. The next prime is 79057809250573. The reversal of 79057809250560 is 6505290875097.

79057809250560 is a `hidden beast` number, since 7 + 9 + 0 + 578 + 0 + 9 + 2 + 5 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5498925 + ... + 13724204.

It is an arithmetic number, because the mean of its divisors is an integer number (589381165800).

Almost surely, 2^{79057809250560} is an apocalyptic number.

79057809250560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79057809250560 is an abundant number, since it is smaller than the sum of its proper divisors (260425742250240).

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

79057809250560 is a wasteful number, since it uses less digits than its factorization.

79057809250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223183 (or 19223163 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 79057809250560 in words is "seventy-nine trillion, fifty-seven billion, eight hundred nine million, two hundred fifty thousand, five hundred sixty".