80890054560 has 432 divisors, whose sum is σ = 328948211592. Its totient is φ = 18037555200.

The previous prime is 80890054559. The next prime is 80890054657. The reversal of 80890054560 is 6545009808.

80890054560 is a `hidden beast` number, since 8 + 0 + 89 + 0 + 0 + 5 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32343864336 + 48546190224 = 179844^2 + 220332^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2878980 + ... + 2906940.

Almost surely, 2^80890054560 is an apocalyptic number.

80890054560 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 80890054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164474105796).

80890054560 is an abundant number, since it is smaller than the sum of its proper divisors (248058157032).

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

80890054560 is a wasteful number, since it uses less digits than its factorization.

80890054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28037 (or 28019 counting only the distinct ones).

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

The spelling of 80890054560 in words is "eighty billion, eight hundred ninety million, fifty-four thousand, five hundred sixty".