80557648128 has 216 divisors, whose sum is σ = 248199751800. Its totient is φ = 25039798272.

The previous prime is 80557648109. The next prime is 80557648139. The reversal of 80557648128 is 82184675508.

80557648128 is a `hidden beast` number, since 8 + 0 + 5 + 576 + 48 + 1 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54173493504 + 26384154624 = 232752^2 + 162432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4259878 + ... + 4278746.

It is an arithmetic number, because the mean of its divisors is an integer number (1149072925).

Almost surely, 2^80557648128 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 80557648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124099875900).

80557648128 is an abundant number, since it is smaller than the sum of its proper divisors (167642103672).

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

80557648128 is a wasteful number, since it uses less digits than its factorization.

80557648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19017 (or 19000 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 80557648128 in words is "eighty billion, five hundred fifty-seven million, six hundred forty-eight thousand, one hundred twenty-eight".