33116160000 has 960 divisors, whose sum is σ = 140036236560. Its totient is φ = 6881280000.

The previous prime is 33116159983. The next prime is 33116160013. The reversal of 33116160000 is 6161133.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3010559995 + ... + 3010560005.

Almost surely, 2^33116160000 is an apocalyptic number.

33116160000 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 33116160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70018118280).

33116160000 is an abundant number, since it is smaller than the sum of its proper divisors (106920076560).

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

33116160000 is an frugal number, since it uses more digits than its factorization.

33116160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 33116160000 in words is "thirty-three billion, one hundred sixteen million, one hundred sixty thousand".