80531295768 has 480 divisors, whose sum is σ = 289314804240. Its totient is φ = 20692869120.

The previous prime is 80531295739. The next prime is 80531295773. The reversal of 80531295768 is 86759213508.

80531295768 is a `hidden beast` number, since 8 + 0 + 53 + 12 + 9 + 576 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33878196 + ... + 33880572.

Almost surely, 2^80531295768 is an apocalyptic number.

80531295768 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 80531295768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144657402120).

80531295768 is an abundant number, since it is smaller than the sum of its proper divisors (208783508472).

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

80531295768 is a wasteful number, since it uses less digits than its factorization.

80531295768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 80531295768 in words is "eighty billion, five hundred thirty-one million, two hundred ninety-five thousand, seven hundred sixty-eight".