79819953120 has 240 divisors, whose sum is σ = 298269206928. Its totient is φ = 20033187840.

The previous prime is 79819953053. The next prime is 79819953121. The reversal of 79819953120 is 2135991897.

79819953120 is a `hidden beast` number, since 7 + 9 + 81 + 9 + 9 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79819953121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39175 + ... + 401465.

Almost surely, 2^79819953120 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 79819953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149134603464).

79819953120 is an abundant number, since it is smaller than the sum of its proper divisors (218449253808).

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

79819953120 is a wasteful number, since it uses less digits than its factorization.

79819953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362335 (or 362318 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 79819953120 in words is "seventy-nine billion, eight hundred nineteen million, nine hundred fifty-three thousand, one hundred twenty".