79716554500800 has 1008 divisors, whose sum is σ = 307146364981632. Its totient is φ = 18047206195200.

The previous prime is 79716554500733. The next prime is 79716554500841. The reversal of 79716554500800 is 800545561797.

It is a super-2 number, since 2×79716554500800² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 18271039419 + ... + 18271043781.

Almost surely, 2^{79716554500800} is an apocalyptic number.

79716554500800 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 79716554500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153573182490816).

79716554500800 is an abundant number, since it is smaller than the sum of its proper divisors (227429810480832).

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

79716554500800 is a wasteful number, since it uses less digits than its factorization.

79716554500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 79716554500800 in words is "seventy-nine trillion, seven hundred sixteen billion, five hundred fifty-four million, five hundred thousand, eight hundred".