80086855680 has 624 divisors, whose sum is σ = 308664401760. Its totient is φ = 19690684416.

The previous prime is 80086855661. The next prime is 80086855699. The reversal of 80086855680 is 8655868008.

80086855680 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 6 + 8 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (80086855661) and next prime (80086855699).

It is a tau number, because it is divible by the number of its divisors (624).

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 47 ways as a sum of consecutive naturals, for example, 93449812 + ... + 93450668.

It is an arithmetic number, because the mean of its divisors is an integer number (494654490).

Almost surely, 2^80086855680 is an apocalyptic number.

80086855680 is a gapful number since it is divisible by the number (80) 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 80086855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154332200880).

80086855680 is an abundant number, since it is smaller than the sum of its proper divisors (228577546080).

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

80086855680 is a wasteful number, since it uses less digits than its factorization.

80086855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 880 counting only the distinct ones).

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

The spelling of 80086855680 in words is "eighty billion, eighty-six million, eight hundred fifty-five thousand, six hundred eighty".