80056294686720 has 2400 divisors, whose sum is σ = 334611948464640. Its totient is φ = 18115712778240.

The previous prime is 80056294686713. The next prime is 80056294686787. The reversal of 80056294686720 is 2768649265008.

80056294686720 is a `hidden beast` number, since 8 + 0 + 0 + 562 + 9 + 4 + 6 + 8 + 67 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72187821526 + ... + 72187822634.

Almost surely, 2^{80056294686720} is an apocalyptic number.

80056294686720 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 80056294686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167305974232320).

80056294686720 is an abundant number, since it is smaller than the sum of its proper divisors (254555653777920).

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

80056294686720 is a wasteful number, since it uses less digits than its factorization.

80056294686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 80056294686720 in words is "eighty trillion, fifty-six billion, two hundred ninety-four million, six hundred eighty-six thousand, seven hundred twenty".