126686407680 has 528 divisors, whose sum is σ = 506971483200. Its totient is φ = 28651290624.

The previous prime is 126686407667. The next prime is 126686407697. The reversal of 126686407680 is 86704686621.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31286296 + ... + 31290344.

Almost surely, 2^126686407680 is an apocalyptic number.

126686407680 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 126686407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253485741600).

126686407680 is an abundant number, since it is smaller than the sum of its proper divisors (380285075520).

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

126686407680 is a wasteful number, since it uses less digits than its factorization.

126686407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 126686407680 in words is "one hundred twenty-six billion, six hundred eighty-six million, four hundred seven thousand, six hundred eighty".