80057625984 has 768 divisors, whose sum is σ = 284857896960. Its totient is φ = 21100953600.

The previous prime is 80057625979. The next prime is 80057626021. The reversal of 80057625984 is 48952675008.

80057625984 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 7 + 625 + 9 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80057625984.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 748202059 + ... + 748202165.

It is an arithmetic number, because the mean of its divisors is an integer number (370908720).

Almost surely, 2^80057625984 is an apocalyptic number.

80057625984 is a gapful number since it is divisible by the number (84) 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 80057625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142428948480).

80057625984 is an abundant number, since it is smaller than the sum of its proper divisors (204800270976).

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

80057625984 is a wasteful number, since it uses less digits than its factorization.

80057625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 80057625984 in words is "eighty billion, fifty-seven million, six hundred twenty-five thousand, nine hundred eighty-four".