80589261956 has 96 divisors (see below), whose sum is σ = 166724490240. Its totient is φ = 33371606016.

The previous prime is 80589261953. The next prime is 80589261971. The reversal of 80589261956 is 65916298508.

It is a super-2 number, since 2×80589261956² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80589261895 and 80589261904.

It is not an unprimeable number, because it can be changed into a prime (80589261953) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35516390 + ... + 35518658.

It is an arithmetic number, because the mean of its divisors is an integer number (1736713440).

Almost surely, 2^80589261956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80589261956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83362245120).

80589261956 is an abundant number, since it is smaller than the sum of its proper divisors (86135228284).

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

80589261956 is a wasteful number, since it uses less digits than its factorization.

80589261956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 59.

The spelling of 80589261956 in words is "eighty billion, five hundred eighty-nine million, two hundred sixty-one thousand, nine hundred fifty-six".