80580674016 has 336 divisors, whose sum is σ = 256053017808. Its totient is φ = 24858316800.

The previous prime is 80580674003. The next prime is 80580674017. The reversal of 80580674016 is 61047608508.

It is a happy number.

80580674016 is a `hidden beast` number, since 8 + 0 + 580 + 67 + 4 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80580674017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24189471 + ... + 24192801.

It is an arithmetic number, because the mean of its divisors is an integer number (762062553).

Almost surely, 2^80580674016 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 80580674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128026508904).

80580674016 is an abundant number, since it is smaller than the sum of its proper divisors (175472343792).

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

80580674016 is a wasteful number, since it uses less digits than its factorization.

80580674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 80580674016 in words is "eighty billion, five hundred eighty million, six hundred seventy-four thousand, sixteen".