33130460160 has 1056 divisors, whose sum is σ = 140910894720. Its totient is φ = 7357464576.

The previous prime is 33130460137. The next prime is 33130460173. The reversal of 33130460160 is 6106403133.

33130460160 is a `hidden beast` number, since 33 + 13 + 0 + 460 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453841884 + ... + 453841956.

Almost surely, 2^33130460160 is an apocalyptic number.

33130460160 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 33130460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70455447360).

33130460160 is an abundant number, since it is smaller than the sum of its proper divisors (107780434560).

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

33130460160 is a wasteful number, since it uses less digits than its factorization.

33130460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33130460160 its reverse (6106403133), we get a palindrome (39236863293).

The spelling of 33130460160 in words is "thirty-three billion, one hundred thirty million, four hundred sixty thousand, one hundred sixty".