126851109600 has 144 divisors (see below), whose sum is σ = 413456037120. Its totient is φ = 33781440000.

The previous prime is 126851109589. The next prime is 126851109601. The reversal of 126851109600 is 6901158621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126851109601) 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 23 ways as a sum of consecutive naturals, for example, 1767211 + ... + 1837589.

It is an arithmetic number, because the mean of its divisors is an integer number (2871222480).

Almost surely, 2^126851109600 is an apocalyptic number.

126851109600 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 126851109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206728018560).

126851109600 is an abundant number, since it is smaller than the sum of its proper divisors (286604927520).

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

126851109600 is a wasteful number, since it uses less digits than its factorization.

126851109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71153 (or 71140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 126851109600 in words is "one hundred twenty-six billion, eight hundred fifty-one million, one hundred nine thousand, six hundred".