79605218160 has 240 divisors, whose sum is σ = 289170554400. Its totient is φ = 19509037056.

The previous prime is 79605218123. The next prime is 79605218237. The reversal of 79605218160 is 6181250697.

79605218160 is a `hidden beast` number, since 7 + 9 + 60 + 521 + 8 + 1 + 60 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124871 + ... + 2162009.

It is an arithmetic number, because the mean of its divisors is an integer number (1204877310).

Almost surely, 2^79605218160 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 79605218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144585277200).

79605218160 is an abundant number, since it is smaller than the sum of its proper divisors (209565336240).

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

79605218160 is a wasteful number, since it uses less digits than its factorization.

79605218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 37391 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 79605218160 in words is "seventy-nine billion, six hundred five million, two hundred eighteen thousand, one hundred sixty".