79783820404992 has 1152 divisors, whose sum is σ = 290913696460800. Its totient is φ = 21253039718400.

The previous prime is 79783820404957. The next prime is 79783820405053. The reversal of 79783820404992 is 29940402838797.

79783820404992 is a `hidden beast` number, since 7 + 9 + 78 + 3 + 8 + 20 + 40 + 499 + 2 = 666.

79783820404992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79783820404992.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1743618978 + ... + 1743664734.

It is an arithmetic number, because the mean of its divisors is an integer number (252529250400).

Almost surely, 2^{79783820404992} is an apocalyptic number.

79783820404992 is a gapful number since it is divisible by the number (72) 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 79783820404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145456848230400).

79783820404992 is an abundant number, since it is smaller than the sum of its proper divisors (211129876055808).

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

79783820404992 is a wasteful number, since it uses less digits than its factorization.

79783820404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45900 (or 45880 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 79783820404992 in words is "seventy-nine trillion, seven hundred eighty-three billion, eight hundred twenty million, four hundred four thousand, nine hundred ninety-two".