32088205152 has 216 divisors, whose sum is σ = 94859462880. Its totient is φ = 10288627200.

The previous prime is 32088205151. The next prime is 32088205169. The reversal of 32088205152 is 25150288023.

32088205152 is a `hidden beast` number, since 320 + 88 + 205 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32088205151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74450377 + ... + 74450807.

It is an arithmetic number, because the mean of its divisors is an integer number (439164180).

Almost surely, 2^32088205152 is an apocalyptic number.

32088205152 is a gapful number since it is divisible by the number (32) 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 32088205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429731440).

32088205152 is an abundant number, since it is smaller than the sum of its proper divisors (62771257728).

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

32088205152 is a wasteful number, since it uses less digits than its factorization.

32088205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 32088205152 in words is "thirty-two billion, eighty-eight million, two hundred five thousand, one hundred fifty-two".