13330850685120 has 1568 divisors, whose sum is σ = 52884565694208. Its totient is φ = 3184444440576.

The previous prime is 13330850685067. The next prime is 13330850685127. The reversal of 13330850685120 is 2158605803331.

13330850685120 is a `hidden beast` number, since 1 + 33 + 30 + 8 + 506 + 85 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13330850685127) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6896455674 + ... + 6896457606.

Almost surely, 2^{13330850685120} is an apocalyptic number.

13330850685120 is a gapful number since it is divisible by the number (10) 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 13330850685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442282847104).

13330850685120 is an abundant number, since it is smaller than the sum of its proper divisors (39553715009088).

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

13330850685120 is a wasteful number, since it uses less digits than its factorization.

13330850685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13330850685120 in words is "thirteen trillion, three hundred thirty billion, eight hundred fifty million, six hundred eighty-five thousand, one hundred twenty".