79097488588800 has 5400 divisors, whose sum is σ = 364862791505520. Its totient is φ = 16817061888000.

The previous prime is 79097488588759. The next prime is 79097488588813. The reversal of 79097488588800 is 888588479097.

79097488588800 is a `hidden beast` number, since 7 + 9 + 0 + 9 + 7 + 488 + 58 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79097488588800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1296680140770 + ... + 1296680140830.

Almost surely, 2^{79097488588800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79097488588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182431395752760).

79097488588800 is an abundant number, since it is smaller than the sum of its proper divisors (285765302916720).

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

79097488588800 is a wasteful number, since it uses less digits than its factorization.

79097488588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 81.

The spelling of 79097488588800 in words is "seventy-nine trillion, ninety-seven billion, four hundred eighty-eight million, five hundred eighty-eight thousand, eight hundred".