13330808487360 has 2240 divisors, whose sum is σ = 60563253983232. Its totient is φ = 2708239712256.

The previous prime is 13330808487331. The next prime is 13330808487361. The reversal of 13330808487360 is 6378480803331.

13330808487360 is a `hidden beast` number, since 133 + 30 + 80 + 8 + 48 + 7 + 360 = 666.

13330808487360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×13330808487360² (a number of 27 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 = 13330808487297 and 13330808487306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330808487361) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8989081179 + ... + 8989082661.

Almost surely, 2^{13330808487360} is an apocalyptic number.

13330808487360 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 13330808487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30281626991616).

13330808487360 is an abundant number, since it is smaller than the sum of its proper divisors (47232445495872).

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

13330808487360 is a wasteful number, since it uses less digits than its factorization.

13330808487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13330808487360 in words is "thirteen trillion, three hundred thirty billion, eight hundred eight million, four hundred eighty-seven thousand, three hundred sixty".