33027130752 has 128 divisors (see below), whose sum is σ = 109375660800. Its totient is φ = 8578467840.

The previous prime is 33027130751. The next prime is 33027130811. The reversal of 33027130752 is 25703172033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33027130751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528927 + ... + 588062.

It is an arithmetic number, because the mean of its divisors is an integer number (854497350).

Almost surely, 2^33027130752 is an apocalyptic number.

33027130752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33027130752 is an abundant number, since it is smaller than the sum of its proper divisors (76348530048).

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

33027130752 is a wasteful number, since it uses less digits than its factorization.

33027130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117024 (or 1117012 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The spelling of 33027130752 in words is "thirty-three billion, twenty-seven million, one hundred thirty thousand, seven hundred fifty-two".