126688414860 has 288 divisors, whose sum is σ = 460794507264. Its totient is φ = 27563328000.

The previous prime is 126688414843. The next prime is 126688414861. The reversal of 126688414860 is 68414886621.

It is a happy number.

126688414860 is a `hidden beast` number, since 1 + 26 + 68 + 84 + 1 + 486 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126688414797 and 126688414806.

It is not an unprimeable number, because it can be changed into a prime (126688414861) by changing a digit.

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, 2356075 + ... + 2409245.

It is an arithmetic number, because the mean of its divisors is an integer number (1599980928).

Almost surely, 2^126688414860 is an apocalyptic number.

126688414860 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 126688414860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230397253632).

126688414860 is an abundant number, since it is smaller than the sum of its proper divisors (334106092404).

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

126688414860 is a wasteful number, since it uses less digits than its factorization.

126688414860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53285 (or 53280 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 126688414860 in words is "one hundred twenty-six billion, six hundred eighty-eight million, four hundred fourteen thousand, eight hundred sixty".