30880991232 has 1152 divisors, whose sum is σ = 125814124800. Its totient is φ = 7261913088.

The previous prime is 30880991227. The next prime is 30880991263. The reversal of 30880991232 is 23219908803.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1625315319 + ... + 1625315337.

It is an arithmetic number, because the mean of its divisors is an integer number (109213650).

Almost surely, 2^30880991232 is an apocalyptic number.

30880991232 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 30880991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62907062400).

30880991232 is an abundant number, since it is smaller than the sum of its proper divisors (94933133568).

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

30880991232 is a wasteful number, since it uses less digits than its factorization.

30880991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30880991232 in words is "thirty billion, eight hundred eighty million, nine hundred ninety-one thousand, two hundred thirty-two".