12891441600 has 504 divisors, whose sum is σ = 48288659328. Its totient is φ = 3382041600.

The previous prime is 12891441599. The next prime is 12891441631. The reversal of 12891441600 is 614419821.

12891441600 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 4 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27604567 + ... + 27605033.

It is an arithmetic number, because the mean of its divisors is an integer number (95810832).

Almost surely, 2^12891441600 is an apocalyptic number.

12891441600 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 12891441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24144329664).

12891441600 is an abundant number, since it is smaller than the sum of its proper divisors (35397217728).

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

12891441600 is an equidigital number, since it uses as much as digits as its factorization.

12891441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12891441600 in words is "twelve billion, eight hundred ninety-one million, four hundred forty-one thousand, six hundred".