80581086432 has 648 divisors, whose sum is σ = 300408466176. Its totient is φ = 20401920000.

The previous prime is 80581086413. The next prime is 80581086433. The reversal of 80581086432 is 23468018508.

80581086432 is a `hidden beast` number, since 8 + 0 + 581 + 0 + 8 + 64 + 3 + 2 = 666.

It is a super-2 number, since 2×80581086432² (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 (80581086433) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 70009057 + ... + 70010207.

It is an arithmetic number, because the mean of its divisors is an integer number (463593312).

Almost surely, 2^80581086432 is an apocalyptic number.

80581086432 is a gapful number since it is divisible by the number (82) 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 80581086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150204233088).

80581086432 is an abundant number, since it is smaller than the sum of its proper divisors (219827379744).

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

80581086432 is a wasteful number, since it uses less digits than its factorization.

80581086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80581086432 in words is "eighty billion, five hundred eighty-one million, eighty-six thousand, four hundred thirty-two".