80281635840 has 352 divisors, whose sum is σ = 326068431360. Its totient is φ = 18349867008.

The previous prime is 80281635829. The next prime is 80281635853. The reversal of 80281635840 is 4853618208.

80281635840 is a `hidden beast` number, since 8 + 0 + 2 + 8 + 1 + 63 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926199 + ... + 1009161.

Almost surely, 2^80281635840 is an apocalyptic number.

80281635840 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 80281635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163034215680).

80281635840 is an abundant number, since it is smaller than the sum of its proper divisors (245786795520).

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

80281635840 is a wasteful number, since it uses less digits than its factorization.

80281635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83004 (or 82980 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80281635840 in words is "eighty billion, two hundred eighty-one million, six hundred thirty-five thousand, eight hundred forty".