32120088864 has 144 divisors (see below), whose sum is σ = 90221896800. Its totient is φ = 10003193856.

The previous prime is 32120088853. The next prime is 32120088901. The reversal of 32120088864 is 46888002123.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852252 + ... + 3860580.

It is an arithmetic number, because the mean of its divisors is an integer number (626540950).

Almost surely, 2^32120088864 is an apocalyptic number.

32120088864 is a gapful number since it is divisible by the number (34) 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 32120088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110948400).

32120088864 is an abundant number, since it is smaller than the sum of its proper divisors (58101807936).

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

32120088864 is a wasteful number, since it uses less digits than its factorization.

32120088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8515 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 32120088864 in words is "thirty-two billion, one hundred twenty million, eighty-eight thousand, eight hundred sixty-four".