33275838960 has 1280 divisors, whose sum is σ = 150177054720. Its totient is φ = 6584094720.

The previous prime is 33275838949. The next prime is 33275838979. The reversal of 33275838960 is 6983857233.

33275838960 is a `hidden beast` number, since 33 + 27 + 583 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×33275838960² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33275838897 and 33275838906.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 262014417 + ... + 262014543.

It is an arithmetic number, because the mean of its divisors is an integer number (117325824).

Almost surely, 2^33275838960 is an apocalyptic number.

33275838960 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 33275838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75088527360).

33275838960 is an abundant number, since it is smaller than the sum of its proper divisors (116901215760).

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

33275838960 is a wasteful number, since it uses less digits than its factorization.

33275838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 33275838960 in words is "thirty-three billion, two hundred seventy-five million, eight hundred thirty-eight thousand, nine hundred sixty".