12834780863700 has 288 divisors, whose sum is σ = 40974467466240. Its totient is φ = 3089816755200.

The previous prime is 12834780863689. The next prime is 12834780863789. The reversal of 12834780863700 is 736808743821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 9410497 + ... + 10687703.

It is an arithmetic number, because the mean of its divisors is an integer number (142272456480).

Almost surely, 2^{12834780863700} is an apocalyptic number.

12834780863700 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 12834780863700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20487233733120).

12834780863700 is an abundant number, since it is smaller than the sum of its proper divisors (28139686602540).

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

12834780863700 is a wasteful number, since it uses less digits than its factorization.

12834780863700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277327 (or 1277320 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 12834780863700 in words is "twelve trillion, eight hundred thirty-four billion, seven hundred eighty million, eight hundred sixty-three thousand, seven hundred".