80585809920 has 1344 divisors, whose sum is σ = 370971933696. Its totient is φ = 15665725440.

The previous prime is 80585809907. The next prime is 80585809949. The reversal of 80585809920 is 2990858508.

80585809920 is a `hidden beast` number, since 8 + 0 + 58 + 580 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 482549677 + ... + 482549843.

It is an arithmetic number, because the mean of its divisors is an integer number (276020784).

Almost surely, 2^80585809920 is an apocalyptic number.

80585809920 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 80585809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185485966848).

80585809920 is an abundant number, since it is smaller than the sum of its proper divisors (290386123776).

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

80585809920 is a wasteful number, since it uses less digits than its factorization.

80585809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 80585809920 in words is "eighty billion, five hundred eighty-five million, eight hundred nine thousand, nine hundred twenty".