80582893920 has 576 divisors, whose sum is σ = 293037937920. Its totient is φ = 20133679104.

The previous prime is 80582893889. The next prime is 80582893991. The reversal of 80582893920 is 2939828508.

80582893920 is a `hidden beast` number, since 8 + 0 + 582 + 8 + 9 + 39 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232227187 + ... + 232227533.

It is an arithmetic number, because the mean of its divisors is an integer number (508746420).

Almost surely, 2^80582893920 is an apocalyptic number.

80582893920 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 80582893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146518968960).

80582893920 is an abundant number, since it is smaller than the sum of its proper divisors (212455044000).

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

80582893920 is a wasteful number, since it uses less digits than its factorization.

80582893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 80582893920 in words is "eighty billion, five hundred eighty-two million, eight hundred ninety-three thousand, nine hundred twenty".