10126683656800 has 288 divisors, whose sum is σ = 25483230968832. Its totient is φ = 3927673774080.

The previous prime is 10126683656743. The next prime is 10126683656899. The reversal of 10126683656800 is 865638662101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065403149 + ... + 2065408051.

It is an arithmetic number, because the mean of its divisors is an integer number (88483440864).

Almost surely, 2^{10126683656800} is an apocalyptic number.

10126683656800 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 10126683656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741615484416).

10126683656800 is an abundant number, since it is smaller than the sum of its proper divisors (15356547312032).

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

10126683656800 is a wasteful number, since it uses less digits than its factorization.

10126683656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 10126683656800 in words is "ten trillion, one hundred twenty-six billion, six hundred eighty-three million, six hundred fifty-six thousand, eight hundred".