12864335360 has 160 divisors (see below), whose sum is σ = 32057448192. Its totient is φ = 4945674240.

The previous prime is 12864335317. The next prime is 12864335371. The reversal of 12864335360 is 6353346821.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×12864335360² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13728812 + ... + 13729748.

Almost surely, 2^12864335360 is an apocalyptic number.

12864335360 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 12864335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028724096).

12864335360 is an abundant number, since it is smaller than the sum of its proper divisors (19193112832).

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

12864335360 is an equidigital number, since it uses as much as digits as its factorization.

12864335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 12864335360 in words is "twelve billion, eight hundred sixty-four million, three hundred thirty-five thousand, three hundred sixty".