132800580864 has 648 divisors, whose sum is σ = 486430220640. Its totient is φ = 35930345472.

The previous prime is 132800580863. The next prime is 132800580881. The reversal of 132800580864 is 468085008231.

132800580864 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 0 + 0 + 580 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132800580863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57914502 + ... + 57916794.

Almost surely, 2^132800580864 is an apocalyptic number.

132800580864 is a gapful number since it is divisible by the number (14) 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 132800580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243215110320).

132800580864 is an abundant number, since it is smaller than the sum of its proper divisors (353629639776).

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

132800580864 is an equidigital number, since it uses as much as digits as its factorization.

132800580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2324 counting only the distinct ones).

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

The spelling of 132800580864 in words is "one hundred thirty-two billion, eight hundred million, five hundred eighty thousand, eight hundred sixty-four".