32769289600852 has 96 divisors (see below), whose sum is σ = 68891848704000. Its totient is φ = 13343941278720.

The previous prime is 32769289600849. The next prime is 32769289600877. The reversal of 32769289600852 is 25800698296723.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10939524 + ... + 13609252.

It is an arithmetic number, because the mean of its divisors is an integer number (717623424000).

Almost surely, 2^{32769289600852} 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 32769289600852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445924352000).

32769289600852 is an abundant number, since it is smaller than the sum of its proper divisors (36122559103148).

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

32769289600852 is a wasteful number, since it uses less digits than its factorization.

32769289600852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670029 (or 2670027 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 32769289600852 in words is "thirty-two trillion, seven hundred sixty-nine billion, two hundred eighty-nine million, six hundred thousand, eight hundred fifty-two".