80856610560 has 720 divisors, whose sum is σ = 325945331712. Its totient is φ = 18960998400.

The previous prime is 80856610559. The next prime is 80856610567. The reversal of 80856610560 is 6501665808.

80856610560 is a `hidden beast` number, since 8 + 0 + 85 + 6 + 6 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80856610567) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 35353737 + ... + 35356023.

Almost surely, 2^80856610560 is an apocalyptic number.

80856610560 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 80856610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162972665856).

80856610560 is an abundant number, since it is smaller than the sum of its proper divisors (245088721152).

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

80856610560 is a wasteful number, since it uses less digits than its factorization.

80856610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 80856610560 in words is "eighty billion, eight hundred fifty-six million, six hundred ten thousand, five hundred sixty".