32581218560 has 144 divisors (see below), whose sum is σ = 88839434880. Its totient is φ = 11332485120.

The previous prime is 32581218541. The next prime is 32581218587. The reversal of 32581218560 is 6581218523.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273536 + ... + 374144.

It is an arithmetic number, because the mean of its divisors is an integer number (616940520).

Almost surely, 2^32581218560 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 32581218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44419717440).

32581218560 is an abundant number, since it is smaller than the sum of its proper divisors (56258216320).

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

32581218560 is a wasteful number, since it uses less digits than its factorization.

32581218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100664 (or 100650 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 32581218560 in words is "thirty-two billion, five hundred eighty-one million, two hundred eighteen thousand, five hundred sixty".