80382855168 has 1440 divisors, whose sum is σ = 325361836800. Its totient is φ = 19508428800.

The previous prime is 80382855143. The next prime is 80382855211. The reversal of 80382855168 is 86155828308.

It is a happy number.

80382855168 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 28 + 551 + 68 = 666.

It is a super-2 number, since 2×80382855168² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2592995313 + ... + 2592995343.

It is an arithmetic number, because the mean of its divisors is an integer number (225945720).

Almost surely, 2^80382855168 is an apocalyptic number.

80382855168 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 80382855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680918400).

80382855168 is an abundant number, since it is smaller than the sum of its proper divisors (244978981632).

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

80382855168 is a wasteful number, since it uses less digits than its factorization.

80382855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 80382855168 in words is "eighty billion, three hundred eighty-two million, eight hundred fifty-five thousand, one hundred sixty-eight".