32563957019232 has 192 divisors, whose sum is σ = 87039365773248. Its totient is φ = 10658718720000.

The previous prime is 32563957019179. The next prime is 32563957019291. The reversal of 32563957019232 is 23291075936523.

It is a super-2 number, since 2×32563957019232² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823529382 + ... + 823568922.

It is an arithmetic number, because the mean of its divisors is an integer number (453330030069).

Almost surely, 2^{32563957019232} is an apocalyptic number.

32563957019232 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 32563957019232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43519682886624).

32563957019232 is an abundant number, since it is smaller than the sum of its proper divisors (54475408754016).

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

32563957019232 is a wasteful number, since it uses less digits than its factorization.

32563957019232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40353 (or 40345 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 57.

The spelling of 32563957019232 in words is "thirty-two trillion, five hundred sixty-three billion, nine hundred fifty-seven million, nineteen thousand, two hundred thirty-two".