12963888000 has 640 divisors, whose sum is σ = 55065067200. Its totient is φ = 2961100800.

The previous prime is 12963887977. The next prime is 12963888001. The reversal of 12963888000 is 88836921.

12963888000 is a `hidden beast` number, since 1 + 2 + 9 + 638 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963888001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071286 + ... + 9072714.

Almost surely, 2^12963888000 is an apocalyptic number.

12963888000 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 12963888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532533600).

12963888000 is an abundant number, since it is smaller than the sum of its proper divisors (42101179200).

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

12963888000 is an equidigital number, since it uses as much as digits as its factorization.

12963888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12963888000 in words is "twelve billion, nine hundred sixty-three million, eight hundred eighty-eight thousand".