80859834720 has 288 divisors, whose sum is σ = 317011968000. Its totient is φ = 18385044480.

The previous prime is 80859834703. The next prime is 80859834733. The reversal of 80859834720 is 2743895808.

It is a happy number.

80859834720 is a `hidden beast` number, since 8 + 0 + 8 + 598 + 3 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1904281 + ... + 1946279.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736000).

Almost surely, 2^80859834720 is an apocalyptic number.

80859834720 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 80859834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984000).

80859834720 is an abundant number, since it is smaller than the sum of its proper divisors (236152133280).

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

80859834720 is a wasteful number, since it uses less digits than its factorization.

80859834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42218 (or 42207 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80859834720 in words is "eighty billion, eight hundred fifty-nine million, eight hundred thirty-four thousand, seven hundred twenty".