32138989824 has 288 divisors, whose sum is σ = 90252574720. Its totient is φ = 10144382976.

The previous prime is 32138989747. The next prime is 32138989829. The reversal of 32138989824 is 42898983123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32138989829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253062849 + ... + 253062975.

Almost surely, 2^32138989824 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 32138989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45126287360).

32138989824 is an abundant number, since it is smaller than the sum of its proper divisors (58113584896).

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

32138989824 is a wasteful number, since it uses less digits than its factorization.

32138989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 32138989824 in words is "thirty-two billion, one hundred thirty-eight million, nine hundred eighty-nine thousand, eight hundred twenty-four".