80288133120 has 1248 divisors, whose sum is σ = 333596757312. Its totient is φ = 18345885696.

The previous prime is 80288133073. The next prime is 80288133143. The reversal of 80288133120 is 2133188208.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837404 + ... + 1099837476.

It is an arithmetic number, because the mean of its divisors is an integer number (267305094).

Almost surely, 2^80288133120 is an apocalyptic number.

80288133120 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 80288133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166798378656).

80288133120 is an abundant number, since it is smaller than the sum of its proper divisors (253308624192).

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

80288133120 is a wasteful number, since it uses less digits than its factorization.

80288133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80288133120 in words is "eighty billion, two hundred eighty-eight million, one hundred thirty-three thousand, one hundred twenty".