12889740441600 has 432 divisors, whose sum is σ = 50359265316360. Its totient is φ = 3124784332800.

The previous prime is 12889740441587. The next prime is 12889740441601. The reversal of 12889740441600 is 614404798821.

12889740441600 is a `hidden beast` number, since 1 + 28 + 8 + 9 + 7 + 4 + 0 + 4 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×12889740441600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889740441601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3797322 + ... + 6340278.

Almost surely, 2^{12889740441600} is an apocalyptic number.

12889740441600 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 12889740441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179632658180).

12889740441600 is an abundant number, since it is smaller than the sum of its proper divisors (37469524874760).

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

12889740441600 is a wasteful number, since it uses less digits than its factorization.

12889740441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543006 (or 2542978 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12889740441600 in words is "twelve trillion, eight hundred eighty-nine billion, seven hundred forty million, four hundred forty-one thousand, six hundred".