12985268889600 has 2880 divisors, whose sum is σ = 58134359162880. Its totient is φ = 2802047385600.

The previous prime is 12985268889577. The next prime is 12985268889679. The reversal of 12985268889600 is 698886258921.

12985268889600 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 5 + 2 + 6 + 8 + 8 + 8 + 9 + 600 = 666.

12985268889600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42297292647 + ... + 42297292953.

It is an arithmetic number, because the mean of its divisors is an integer number (20185541376).

Almost surely, 2^{12985268889600} is an apocalyptic number.

12985268889600 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 12985268889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29067179581440).

12985268889600 is an abundant number, since it is smaller than the sum of its proper divisors (45149090273280).

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

12985268889600 is a wasteful number, since it uses less digits than its factorization.

12985268889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 12985268889600 in words is "twelve trillion, nine hundred eighty-five billion, two hundred sixty-eight million, eight hundred eighty-nine thousand, six hundred".