79513125120 has 1440 divisors, whose sum is σ = 347029208064. Its totient is φ = 17119641600.

The previous prime is 79513125119. The next prime is 79513125121. The reversal of 79513125120 is 2152131597.

79513125120 is a `hidden beast` number, since 7 + 9 + 5 + 131 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79513125119) and next prime (79513125121).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79513125121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 459613354 + ... + 459613526.

Almost surely, 2^79513125120 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 79513125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173514604032).

79513125120 is an abundant number, since it is smaller than the sum of its proper divisors (267516082944).

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

79513125120 is a wasteful number, since it uses less digits than its factorization.

79513125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 79513125120 in words is "seventy-nine billion, five hundred thirteen million, one hundred twenty-five thousand, one hundred twenty".