80876590560 has 192 divisors, whose sum is σ = 284944988160. Its totient is φ = 21424089600.

The previous prime is 80876590513. The next prime is 80876590583. The reversal of 80876590560 is 6509567808.

80876590560 is a `hidden beast` number, since 8 + 0 + 8 + 76 + 5 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×80876590560² (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 junction number, because it is equal to n+sod(n) for n = 80876590497 and 80876590506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590329 + ... + 714311.

It is an arithmetic number, because the mean of its divisors is an integer number (1484088480).

Almost surely, 2^80876590560 is an apocalyptic number.

80876590560 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 80876590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142472494080).

80876590560 is an abundant number, since it is smaller than the sum of its proper divisors (204068397600).

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

80876590560 is a wasteful number, since it uses less digits than its factorization.

80876590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124158 (or 124144 counting only the distinct ones).

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

The spelling of 80876590560 in words is "eighty billion, eight hundred seventy-six million, five hundred ninety thousand, five hundred sixty".