80137560384 has 672 divisors, whose sum is σ = 291760656000. Its totient is φ = 21445337088.

The previous prime is 80137560367. The next prime is 80137560427. The reversal of 80137560384 is 48306573108.

80137560384 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 7 + 560 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 175355484 + ... + 175355940.

Almost surely, 2^80137560384 is an apocalyptic number.

80137560384 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 80137560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145880328000).

80137560384 is an abundant number, since it is smaller than the sum of its proper divisors (211623095616).

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

80137560384 is a wasteful number, since it uses less digits than its factorization.

80137560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 80137560384 in words is "eighty billion, one hundred thirty-seven million, five hundred sixty thousand, three hundred eighty-four".