12963386880 has 320 divisors, whose sum is σ = 48475468800. Its totient is φ = 3274629120.

The previous prime is 12963386803. The next prime is 12963386897. The reversal of 12963386880 is 8868336921.

It is a happy number.

12963386880 is a `hidden beast` number, since 129 + 63 + 386 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12963386880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308345 + ... + 1318215.

It is an arithmetic number, because the mean of its divisors is an integer number (151485840).

Almost surely, 2^12963386880 is an apocalyptic number.

12963386880 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 12963386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24237734400).

12963386880 is an abundant number, since it is smaller than the sum of its proper divisors (35512081920).

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

12963386880 is an equidigital number, since it uses as much as digits as its factorization.

12963386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12963386880 in words is "twelve billion, nine hundred sixty-three million, three hundred eighty-six thousand, eight hundred eighty".