32996602124160 has 256 divisors, whose sum is σ = 107810422917120. Its totient is φ = 8579026534400.

The previous prime is 32996602124141. The next prime is 32996602124191. The reversal of 32996602124160 is 6142120669923.

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, 124481365 + ... + 124746155.

It is an arithmetic number, because the mean of its divisors is an integer number (421134464520).

Almost surely, 2^{32996602124160} is an apocalyptic number.

32996602124160 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 32996602124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53905211458560).

32996602124160 is an abundant number, since it is smaller than the sum of its proper divisors (74813820792960).

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

32996602124160 is a wasteful number, since it uses less digits than its factorization.

32996602124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266437 (or 266425 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 32996602124160 in words is "thirty-two trillion, nine hundred ninety-six billion, six hundred two million, one hundred twenty-four thousand, one hundred sixty".