79895651572800 has 2016 divisors, whose sum is σ = 349051891249152. Its totient is φ = 17593507307520.

The previous prime is 79895651572769. The next prime is 79895651572811. The reversal of 79895651572800 is 827515659897.

79895651572800 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 565 + 1 + 57 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×79895651572800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10372013749 + ... + 10372021451.

It is an arithmetic number, because the mean of its divisors is an integer number (173140819072).

Almost surely, 2^{79895651572800} is an apocalyptic number.

79895651572800 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 79895651572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174525945624576).

79895651572800 is an abundant number, since it is smaller than the sum of its proper divisors (269156239676352).

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

79895651572800 is a wasteful number, since it uses less digits than its factorization.

79895651572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 79895651572800 in words is "seventy-nine trillion, eight hundred ninety-five billion, six hundred fifty-one million, five hundred seventy-two thousand, eight hundred".