33138925093120 has 144 divisors (see below), whose sum is σ = 98964881140608. Its totient is φ = 10329015582720.

The previous prime is 33138925093117. The next prime is 33138925093133. The reversal of 33138925093120 is 2139052983133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168016929 + ... + 168214048.

It is an arithmetic number, because the mean of its divisors is an integer number (687256119032).

Almost surely, 2^{33138925093120} is an apocalyptic number.

It is an amenable number.

33138925093120 is an abundant number, since it is smaller than the sum of its proper divisors (65825956047488).

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

33138925093120 is a wasteful number, since it uses less digits than its factorization.

33138925093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336231016 (or 336231002 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The spelling of 33138925093120 in words is "thirty-three trillion, one hundred thirty-eight billion, nine hundred twenty-five million, ninety-three thousand, one hundred twenty".