33268450057920 has 3584 divisors, whose sum is σ = 161800519680000. Its totient is φ = 6226075238400.

The previous prime is 33268450057891. The next prime is 33268450057937. The reversal of 33268450057920 is 2975005486233.

33268450057920 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 8 + 45 + 0 + 0 + 579 + 20 = 666.

It is a super-2 number, since 2×33268450057920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23119144561 + ... + 23119145999.

Almost surely, 2^{33268450057920} is an apocalyptic number.

33268450057920 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 33268450057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80900259840000).

33268450057920 is an abundant number, since it is smaller than the sum of its proper divisors (128532069622080).

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

33268450057920 is a wasteful number, since it uses less digits than its factorization.

33268450057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 33268450057920 in words is "thirty-three trillion, two hundred sixty-eight billion, four hundred fifty million, fifty-seven thousand, nine hundred twenty".