126866062877400 has 1152 divisors, whose sum is σ = 545836828492800. Its totient is φ = 25635643084800.

The previous prime is 126866062877377. The next prime is 126866062877429. The reversal of 126866062877400 is 4778260668621.

126866062877400 is a `hidden beast` number, since 1 + 2 + 6 + 86 + 60 + 6 + 28 + 77 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 11635880349 + ... + 11635891251.

It is an arithmetic number, because the mean of its divisors is an integer number (473816691400).

Almost surely, 2^{126866062877400} is an apocalyptic number.

126866062877400 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 126866062877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272918414246400).

126866062877400 is an abundant number, since it is smaller than the sum of its proper divisors (418970765615400).

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

126866062877400 is a wasteful number, since it uses less digits than its factorization.

126866062877400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 126866062877400 in words is "one hundred twenty-six trillion, eight hundred sixty-six billion, sixty-two million, eight hundred seventy-seven thousand, four hundred".