33130056960 has 1728 divisors, whose sum is σ = 163921605120. Its totient is φ = 5980815360.

The previous prime is 33130056917. The next prime is 33130056961. The reversal of 33130056960 is 6965003133.

33130056960 is a `hidden beast` number, since 3 + 3 + 1 + 30 + 0 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4420 × 4004 × 1872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130056961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1948826872 + ... + 1948826888.

It is an arithmetic number, because the mean of its divisors is an integer number (94862040).

Almost surely, 2^33130056960 is an apocalyptic number.

33130056960 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 33130056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81960802560).

33130056960 is an abundant number, since it is smaller than the sum of its proper divisors (130791548160).

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

33130056960 is a wasteful number, since it uses less digits than its factorization.

33130056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 33130056960 in words is "thirty-three billion, one hundred thirty million, fifty-six thousand, nine hundred sixty".