80891095680 has 768 divisors, whose sum is σ = 302455296000. Its totient is φ = 19873751040.

The previous prime is 80891095679. The next prime is 80891095687. The reversal of 80891095680 is 8659019808.

It is not an unprimeable number, because it can be changed into a prime (80891095687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617489215 + ... + 617489345.

It is an arithmetic number, because the mean of its divisors is an integer number (393822000).

Almost surely, 2^80891095680 is an apocalyptic number.

80891095680 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 80891095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151227648000).

80891095680 is an abundant number, since it is smaller than the sum of its proper divisors (221564200320).

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

80891095680 is a wasteful number, since it uses less digits than its factorization.

80891095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 80891095680 in words is "eighty billion, eight hundred ninety-one million, ninety-five thousand, six hundred eighty".