79975716249600 has 1680 divisors, whose sum is σ = 308792106509040. Its totient is φ = 20443771699200.

The previous prime is 79975716249581. The next prime is 79975716249601. The reversal of 79975716249600 is 694261757997.

79975716249600 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 5 + 7 + 1 + 6 + 2 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×79975716249600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79975716249601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40128306204 + ... + 40128308196.

It is an arithmetic number, because the mean of its divisors is an integer number (183804825303).

Almost surely, 2^{79975716249600} 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 79975716249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154396053254520).

79975716249600 is an abundant number, since it is smaller than the sum of its proper divisors (228816390259440).

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

79975716249600 is a wasteful number, since it uses less digits than its factorization.

79975716249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 79975716249600 in words is "seventy-nine trillion, nine hundred seventy-five billion, seven hundred sixteen million, two hundred forty-nine thousand, six hundred".