80586052032 has 224 divisors, whose sum is σ = 220860518400. Its totient is φ = 25921539072.

The previous prime is 80586051979. The next prime is 80586052037. The reversal of 80586052032 is 23025068508.

It is a super-2 number, since 2×80586052032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80586052037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181909603 + ... + 181910045.

Almost surely, 2^80586052032 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 80586052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110430259200).

80586052032 is an abundant number, since it is smaller than the sum of its proper divisors (140274466368).

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

80586052032 is a wasteful number, since it uses less digits than its factorization.

80586052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 80586052032 in words is "eighty billion, five hundred eighty-six million, fifty-two thousand, thirty-two".