80890306560 has 1008 divisors, whose sum is σ = 340507417536. Its totient is φ = 18059231232.

The previous prime is 80890306513. The next prime is 80890306577. The reversal of 80890306560 is 6560309808.

80890306560 is a `hidden beast` number, since 8 + 0 + 89 + 0 + 3 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 71 ways as a sum of consecutive naturals, for example, 1881169899 + ... + 1881169941.

Almost surely, 2^80890306560 is an apocalyptic number.

80890306560 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 80890306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170253708768).

80890306560 is an abundant number, since it is smaller than the sum of its proper divisors (259617110976).

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

80890306560 is an frugal number, since it uses more digits than its factorization.

80890306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 80890306560 in words is "eighty billion, eight hundred ninety million, three hundred six thousand, five hundred sixty".