79539909120 has 640 divisors, whose sum is σ = 333372948480. Its totient is φ = 17590763520.

The previous prime is 79539909107. The next prime is 79539909173. The reversal of 79539909120 is 2190993597.

79539909120 is a `hidden beast` number, since 7 + 9 + 539 + 90 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14996389 + ... + 15001691.

It is an arithmetic number, because the mean of its divisors is an integer number (520895232).

Almost surely, 2^79539909120 is an apocalyptic number.

79539909120 is a gapful number since it is divisible by the number (70) 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 79539909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166686474240).

79539909120 is an abundant number, since it is smaller than the sum of its proper divisors (253833039360).

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

79539909120 is a wasteful number, since it uses less digits than its factorization.

79539909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 79539909120 in words is "seventy-nine billion, five hundred thirty-nine million, nine hundred nine thousand, one hundred twenty".