126689352768 has 336 divisors, whose sum is σ = 425885091840. Its totient is φ = 35594726400.

The previous prime is 126689352763. The next prime is 126689352833. The reversal of 126689352768 is 867253986621.

It is a happy number.

126689352768 is a `hidden beast` number, since 1 + 26 + 6 + 89 + 3 + 527 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (126689352761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646853 + ... + 5669243.

Almost surely, 2^126689352768 is an apocalyptic number.

126689352768 is a gapful number since it is divisible by the number (18) 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 126689352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212942545920).

126689352768 is an abundant number, since it is smaller than the sum of its proper divisors (299195739072).

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

126689352768 is a wasteful number, since it uses less digits than its factorization.

126689352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22486 (or 22473 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 126689352768 in words is "one hundred twenty-six billion, six hundred eighty-nine million, three hundred fifty-two thousand, seven hundred sixty-eight".