33990168960 has 192 divisors, whose sum is σ = 128042750160. Its totient is φ = 8240025600.

The previous prime is 33990168893. The next prime is 33990168977. The reversal of 33990168960 is 6986109933.

33990168960 is a `hidden beast` number, since 3 + 399 + 0 + 168 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 33990168897 and 33990168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204871 + ... + 331590.

Almost surely, 2^33990168960 is an apocalyptic number.

33990168960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33990168960 is an abundant number, since it is smaller than the sum of its proper divisors (94052581200).

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

33990168960 is a wasteful number, since it uses less digits than its factorization.

33990168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536497 (or 536482 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 33990168960 in words is "thirty-three billion, nine hundred ninety million, one hundred sixty-eight thousand, nine hundred sixty".