33055680000 has 400 divisors, whose sum is σ = 125788734720. Its totient is φ = 7554048000.

The previous prime is 33055679963. The next prime is 33055680037. The reversal of 33055680000 is 8655033.

It is an interprime number because it is at equal distance from previous prime (33055679963) and next prime (33055680037).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 33055680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6717541 + ... + 6722459.

Almost surely, 2^33055680000 is an apocalyptic number.

33055680000 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 33055680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894367360).

33055680000 is an abundant number, since it is smaller than the sum of its proper divisors (92733054720).

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

33055680000 is an frugal number, since it uses more digits than its factorization.

33055680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 33055680000 in words is "thirty-three billion, fifty-five million, six hundred eighty thousand".