80572045260168 has 768 divisors, whose sum is σ = 289900040601600. Its totient is φ = 19597809876480.

The previous prime is 80572045260143. The next prime is 80572045260173. The reversal of 80572045260168 is 86106254027508.

80572045260168 is a `hidden beast` number, since 8 + 0 + 5 + 7 + 20 + 4 + 5 + 2 + 601 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1392529623 + ... + 1392587481.

It is an arithmetic number, because the mean of its divisors is an integer number (377474011200).

Almost surely, 2^{80572045260168} is an apocalyptic number.

80572045260168 is a gapful number since it is divisible by the number (88) 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 80572045260168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144950020300800).

80572045260168 is an abundant number, since it is smaller than the sum of its proper divisors (209327995341432).

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

80572045260168 is a wasteful number, since it uses less digits than its factorization.

80572045260168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58142 (or 58135 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 80572045260168 in words is "eighty trillion, five hundred seventy-two billion, forty-five million, two hundred sixty thousand, one hundred sixty-eight".