32113882080 has 960 divisors, whose sum is σ = 140975493120. Its totient is φ = 6718464000.

The previous prime is 32113882057. The next prime is 32113882127. The reversal of 32113882080 is 8028831123.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53433780 + ... + 53434380.

It is an arithmetic number, because the mean of its divisors is an integer number (146849472).

Almost surely, 2^32113882080 is an apocalyptic number.

32113882080 is a gapful number since it is divisible by the number (30) 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 32113882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70487746560).

32113882080 is an abundant number, since it is smaller than the sum of its proper divisors (108861611040).

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

32113882080 is a wasteful number, since it uses less digits than its factorization.

32113882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 32113882080 in words is "thirty-two billion, one hundred thirteen million, eight hundred eighty-two thousand, eighty".