33268052160 has 672 divisors, whose sum is σ = 137598912000. Its totient is φ = 7544420352.

The previous prime is 33268052143. The next prime is 33268052197. The reversal of 33268052160 is 6125086233.

It is a happy number.

33268052160 is a `hidden beast` number, since 33 + 26 + 80 + 521 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×33268052160² (a number of 22 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 75781221 + ... + 75781659.

Almost surely, 2^33268052160 is an apocalyptic number.

33268052160 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 33268052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68799456000).

33268052160 is an abundant number, since it is smaller than the sum of its proper divisors (104330859840).

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

33268052160 is a wasteful number, since it uses less digits than its factorization.

33268052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 33268052160 in words is "thirty-three billion, two hundred sixty-eight million, fifty-two thousand, one hundred sixty".