13286832975360 has 1440 divisors, whose sum is σ = 55226622394944. Its totient is φ = 2941747200000.

The previous prime is 13286832975349. The next prime is 13286832975413. The reversal of 13286832975360 is 6357923868231.

It is a happy number.

13286832975360 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 6 + 8 + 3 + 2 + 97 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13286832975360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6989390410 + ... + 6989392310.

Almost surely, 2^{13286832975360} is an apocalyptic number.

13286832975360 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 13286832975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27613311197472).

13286832975360 is an abundant number, since it is smaller than the sum of its proper divisors (41939789419584).

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

13286832975360 is a wasteful number, since it uses less digits than its factorization.

13286832975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 13286832975360 in words is "thirteen trillion, two hundred eighty-six billion, eight hundred thirty-two million, nine hundred seventy-five thousand, three hundred sixty".