12968352460800 has 2184 divisors, whose sum is σ = 55751361974640. Its totient is φ = 2955726028800.

The previous prime is 12968352460799. The next prime is 12968352460823. The reversal of 12968352460800 is 806425386921.

12968352460800 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 8 + 3 + 5 + 24 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13959474736 + ... + 13959475664.

Almost surely, 2^{12968352460800} is an apocalyptic number.

12968352460800 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 12968352460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27875680987320).

12968352460800 is an abundant number, since it is smaller than the sum of its proper divisors (42783009513840).

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

12968352460800 is an equidigital number, since it uses as much as digits as its factorization.

12968352460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12968352460800 in words is "twelve trillion, nine hundred sixty-eight billion, three hundred fifty-two million, four hundred sixty thousand, eight hundred".