32282053760 has 128 divisors (see below), whose sum is σ = 84530174400. Its totient is φ = 11691520000.

The previous prime is 32282053703. The next prime is 32282053799. The reversal of 32282053760 is 6735028223.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1757906 + ... + 1776174.

Almost surely, 2^32282053760 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 32282053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42265087200).

32282053760 is an abundant number, since it is smaller than the sum of its proper divisors (52248120640).

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

32282053760 is a wasteful number, since it uses less digits than its factorization.

32282053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18550 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 32282053760 in words is "thirty-two billion, two hundred eighty-two million, fifty-three thousand, seven hundred sixty".