79736921128800 has 432 divisors, whose sum is σ = 310984781168880. Its totient is φ = 19097074667520.

The previous prime is 79736921128783. The next prime is 79736921128817. The reversal of 79736921128800 is 882112963797.

79736921128800 is a `hidden beast` number, since 79 + 7 + 369 + 2 + 1 + 128 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79736921128783) and next prime (79736921128817).

It is a super-2 number, since 2×79736921128800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8048830 + ... + 14975229.

Almost surely, 2^{79736921128800} is an apocalyptic number.

It is an amenable number.

79736921128800 is an abundant number, since it is smaller than the sum of its proper divisors (231247860040080).

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

79736921128800 is a wasteful number, since it uses less digits than its factorization.

79736921128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23024135 (or 23024119 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 79736921128800 in words is "seventy-nine trillion, seven hundred thirty-six billion, nine hundred twenty-one million, one hundred twenty-eight thousand, eight hundred".