79895844288 has 280 divisors, whose sum is σ = 256022825520. Its totient is φ = 24490045440.

The previous prime is 79895844247. The next prime is 79895844323. The reversal of 79895844288 is 88244859897.

79895844288 is a `hidden beast` number, since 7 + 98 + 95 + 8 + 442 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18935043 + ... + 18939261.

It is an arithmetic number, because the mean of its divisors is an integer number (914367234).

Almost surely, 2^79895844288 is an apocalyptic number.

79895844288 is a gapful number since it is divisible by the number (78) 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 79895844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128011412760).

79895844288 is an abundant number, since it is smaller than the sum of its proper divisors (176126981232).

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

79895844288 is a wasteful number, since it uses less digits than its factorization.

79895844288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4518 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 79895844288 in words is "seventy-nine billion, eight hundred ninety-five million, eight hundred forty-four thousand, two hundred eighty-eight".