32056124206656 has 560 divisors, whose sum is σ = 96197635635840. Its totient is φ = 9416580096000.

The previous prime is 32056124206643. The next prime is 32056124206669. The reversal of 32056124206656 is 65660242165023.

It is an interprime number because it is at equal distance from previous prime (32056124206643) and next prime (32056124206669).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 79 ways as a sum of consecutive naturals, for example, 12174751516 + ... + 12174754148.

Almost surely, 2^{32056124206656} 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 32056124206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48098817817920).

32056124206656 is an abundant number, since it is smaller than the sum of its proper divisors (64141511429184).

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

32056124206656 is an equidigital number, since it uses as much as digits as its factorization.

32056124206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 32056124206656 in words is "thirty-two trillion, fifty-six billion, one hundred twenty-four million, two hundred six thousand, six hundred fifty-six".