126688868760 has 128 divisors (see below), whose sum is σ = 390876998400. Its totient is φ = 32825295360.

The previous prime is 126688868753. The next prime is 126688868773. The reversal of 126688868760 is 67868886621.

It is a junction number, because it is equal to n+sod(n) for n = 126688868691 and 126688868700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3261855 + ... + 3300465.

It is an arithmetic number, because the mean of its divisors is an integer number (3053726550).

Almost surely, 2^126688868760 is an apocalyptic number.

126688868760 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 126688868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195438499200).

126688868760 is an abundant number, since it is smaller than the sum of its proper divisors (264188129640).

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

126688868760 is a wasteful number, since it uses less digits than its factorization.

126688868760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39401 (or 39397 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

It can be divided in two parts, 126 and 688868760, that added together give a palindrome (688868886).

The spelling of 126688868760 in words is "one hundred twenty-six billion, six hundred eighty-eight million, eight hundred sixty-eight thousand, seven hundred sixty".