33130768512000 has 1408 divisors, whose sum is σ = 121548080010240. Its totient is φ = 7975364198400.

The previous prime is 33130768511873. The next prime is 33130768512011. The reversal of 33130768512000 is 21586703133.

It is a self number, because there is not a number n which added to its sum of digits gives 33130768512000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17632127061 + ... + 17632128939.

Almost surely, 2^{33130768512000} is an apocalyptic number.

33130768512000 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 33130768512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60774040005120).

33130768512000 is an abundant number, since it is smaller than the sum of its proper divisors (88417311498240).

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

33130768512000 is a wasteful number, since it uses less digits than its factorization.

33130768512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 33130768512000 in words is "thirty-three trillion, one hundred thirty billion, seven hundred sixty-eight million, five hundred twelve thousand".