32785160800 has 288 divisors, whose sum is σ = 94258467072. Its totient is φ = 10901882880.

The previous prime is 32785160753. The next prime is 32785160803. The reversal of 32785160800 is 806158723.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32785160803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41658007 + ... + 41658793.

It is an arithmetic number, because the mean of its divisors is an integer number (327286344).

Almost surely, 2^32785160800 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 32785160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47129233536).

32785160800 is an abundant number, since it is smaller than the sum of its proper divisors (61473306272).

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

32785160800 is a wasteful number, since it uses less digits than its factorization.

32785160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 32785160800 in words is "thirty-two billion, seven hundred eighty-five million, one hundred sixty thousand, eight hundred".