79058648567808 has 1040 divisors, whose sum is σ = 291032307853056. Its totient is φ = 20824809799680.

The previous prime is 79058648567803. The next prime is 79058648567809. The reversal of 79058648567808 is 80876584685097.

79058648567808 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 8 + 6 + 48 + 567 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (79058648567803) 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, 45619530910 + ... + 45619532642.

Almost surely, 2^{79058648567808} is an apocalyptic number.

79058648567808 is a gapful number since it is divisible by the number (78) 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 79058648567808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145516153926528).

79058648567808 is an abundant number, since it is smaller than the sum of its proper divisors (211973659285248).

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

79058648567808 is a wasteful number, since it uses less digits than its factorization.

79058648567808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 79058648567808 in words is "seventy-nine trillion, fifty-eight billion, six hundred forty-eight million, five hundred sixty-seven thousand, eight hundred eight".