79058016180 has 1152 divisors, whose sum is σ = 323748472320. Its totient is φ = 15288238080.

The previous prime is 79058016139. The next prime is 79058016203. The reversal of 79058016180 is 8161085097.

79058016180 is a `hidden beast` number, since 7 + 9 + 0 + 580 + 1 + 61 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 307618612 + ... + 307618868.

It is an arithmetic number, because the mean of its divisors is an integer number (281031660).

Almost surely, 2^79058016180 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 79058016180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161874236160).

79058016180 is an abundant number, since it is smaller than the sum of its proper divisors (244690456140).

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

79058016180 is a wasteful number, since it uses less digits than its factorization.

79058016180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 79058016180 in words is "seventy-nine billion, fifty-eight million, sixteen thousand, one hundred eighty".