33225640230960 has 960 divisors, whose sum is σ = 122514558566400. Its totient is φ = 8044489728000.

The previous prime is 33225640230911. The next prime is 33225640230989. The reversal of 33225640230960 is 6903204652233.

33225640230960 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 564 + 0 + 23 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×33225640230960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5651577301 + ... + 5651583179.

It is an arithmetic number, because the mean of its divisors is an integer number (127619331840).

Almost surely, 2^{33225640230960} is an apocalyptic number.

33225640230960 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 33225640230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61257279283200).

33225640230960 is an abundant number, since it is smaller than the sum of its proper divisors (89288918335440).

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

33225640230960 is a wasteful number, since it uses less digits than its factorization.

33225640230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 33225640230960 in words is "thirty-three trillion, two hundred twenty-five billion, six hundred forty million, two hundred thirty thousand, nine hundred sixty".