12901827993600 has 2688 divisors, whose sum is σ = 55917061079040. Its totient is φ = 2550587719680.

The previous prime is 12901827993581. The next prime is 12901827993643. The reversal of 12901827993600 is 639972810921.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101589196737 + ... + 101589196863.

It is an arithmetic number, because the mean of its divisors is an integer number (20802478080).

Almost surely, 2^{12901827993600} is an apocalyptic number.

12901827993600 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 12901827993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958530539520).

12901827993600 is an abundant number, since it is smaller than the sum of its proper divisors (43015233085440).

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

12901827993600 is a wasteful number, since it uses less digits than its factorization.

12901827993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 12901827993600 in words is "twelve trillion, nine hundred one billion, eight hundred twenty-seven million, nine hundred ninety-three thousand, six hundred".