79857912960 has 640 divisors, whose sum is σ = 327369081600. Its totient is φ = 18172698624.

The previous prime is 79857912889. The next prime is 79857912961. The reversal of 79857912960 is 6921975897.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (79857912961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130273614 + ... + 130274226.

It is an arithmetic number, because the mean of its divisors is an integer number (511514190).

Almost surely, 2^79857912960 is an apocalyptic number.

79857912960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79857912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163684540800).

79857912960 is an abundant number, since it is smaller than the sum of its proper divisors (247511168640).

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

79857912960 is a wasteful number, since it uses less digits than its factorization.

79857912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 79857912960 in words is "seventy-nine billion, eight hundred fifty-seven million, nine hundred twelve thousand, nine hundred sixty".