32742825328125 has 224 divisors, whose sum is σ = 68280326000640. Its totient is φ = 15363135000000.

The previous prime is 32742825328067. The next prime is 32742825328127. The reversal of 32742825328125 is 52182352824723.

32742825328125 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 2 + 8 + 2 + 532 + 81 + 25 = 666.

It is not a de Polignac number, because 32742825328125 - 2⁸ = 32742825327869 is a prime.

It is a super-2 number, since 2×32742825328125² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32742825328127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 143745574 + ... + 143973176.

Almost surely, 2^{32742825328125} is an apocalyptic number.

It is an amenable number.

32742825328125 is an abundant number, since it is smaller than the sum of its proper divisors (35537500672515).

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

32742825328125 is an equidigital number, since it uses as much as digits as its factorization.

32742825328125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227684 (or 227653 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 32742825328125 in words is "thirty-two trillion, seven hundred forty-two billion, eight hundred twenty-five million, three hundred twenty-eight thousand, one hundred twenty-five".