79575609567168 has 3360 divisors, whose sum is σ = 309240161759232. Its totient is φ = 19983399321600.

The previous prime is 79575609567151. The next prime is 79575609567169. The reversal of 79575609567168 is 86176590657597.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79575609567169) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 254235174180 + ... + 254235174492.

Almost surely, 2^{79575609567168} is an apocalyptic number.

79575609567168 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 79575609567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154620080879616).

79575609567168 is an abundant number, since it is smaller than the sum of its proper divisors (229664552192064).

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

79575609567168 is a wasteful number, since it uses less digits than its factorization.

79575609567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6001128000, while the sum is 81.

The spelling of 79575609567168 in words is "seventy-nine trillion, five hundred seventy-five billion, six hundred nine million, five hundred sixty-seven thousand, one hundred sixty-eight".