79020438698124 has 864 divisors, whose sum is σ = 268163843351040. Its totient is φ = 19148212131840.

The previous prime is 79020438698093. The next prime is 79020438698137. The reversal of 79020438698124 is 42189683402097.

79020438698124 is a `hidden beast` number, since 7 + 90 + 2 + 0 + 438 + 6 + 98 + 1 + 24 = 666.

79020438698124 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79020438698124² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 40050905602 + ... + 40050907574.

Almost surely, 2^{79020438698124} 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 79020438698124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134081921675520).

79020438698124 is an abundant number, since it is smaller than the sum of its proper divisors (189143404652916).

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

79020438698124 is a wasteful number, since it uses less digits than its factorization.

79020438698124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 79020438698124 in words is "seventy-nine trillion, twenty billion, four hundred thirty-eight million, six hundred ninety-eight thousand, one hundred twenty-four".