32033130032 has 80 divisors (see below), whose sum is σ = 65335818240. Its totient is φ = 15185280000.

The previous prime is 32033130023. The next prime is 32033130071. The reversal of 32033130032 is 23003133023.

It is a super-2 number, since 2×32033130032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32033129986 and 32033130013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22259969 + ... + 22261407.

It is an arithmetic number, because the mean of its divisors is an integer number (816697728).

Almost surely, 2^32033130032 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 32033130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

32033130032 is an abundant number, since it is smaller than the sum of its proper divisors (33302688208).

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

32033130032 is a wasteful number, since it uses less digits than its factorization.

32033130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 32033130032 its reverse (23003133023), we get a palindrome (55036263055).

The spelling of 32033130032 in words is "thirty-two billion, thirty-three million, one hundred thirty thousand, thirty-two".