33980303468160 has 2560 divisors, whose sum is σ = 156915358617600. Its totient is φ = 6820369661952.

The previous prime is 33980303468159. The next prime is 33980303468207. The reversal of 33980303468160 is 6186430308933.

33980303468160 is a `hidden beast` number, since 3 + 3 + 98 + 0 + 30 + 3 + 468 + 1 + 60 = 666.

It is a super-2 number, since 2×33980303468160² (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 a junction number, because it is equal to n+sod(n) for n = 33980303468097 and 33980303468106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7853083917 + ... + 7853088243.

It is an arithmetic number, because the mean of its divisors is an integer number (61295061960).

Almost surely, 2^{33980303468160} is an apocalyptic number.

33980303468160 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 33980303468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78457679308800).

33980303468160 is an abundant number, since it is smaller than the sum of its proper divisors (122935055149440).

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

33980303468160 is a wasteful number, since it uses less digits than its factorization.

33980303468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 33980303468160 in words is "thirty-three trillion, nine hundred eighty billion, three hundred three million, four hundred sixty-eight thousand, one hundred sixty".