79845266160 has 320 divisors, whose sum is σ = 310372992000. Its totient is φ = 18688803840.

The previous prime is 79845266119. The next prime is 79845266173. The reversal of 79845266160 is 6166254897.

79845266160 is a `hidden beast` number, since 79 + 8 + 452 + 6 + 61 + 60 = 666.

It is a super-2 number, since 2×79845266160² (a number of 23 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 79845266097 and 79845266106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631101 + ... + 746979.

It is an arithmetic number, because the mean of its divisors is an integer number (969915600).

Almost surely, 2^79845266160 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 79845266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155186496000).

79845266160 is an abundant number, since it is smaller than the sum of its proper divisors (230527725840).

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

79845266160 is a wasteful number, since it uses less digits than its factorization.

79845266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115941 (or 115929 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 79845266160 in words is "seventy-nine billion, eight hundred forty-five million, two hundred sixty-six thousand, one hundred sixty".