126755290368 has 1080 divisors, whose sum is σ = 474921437760. Its totient is φ = 32905543680.

The previous prime is 126755290331. The next prime is 126755290379. The reversal of 126755290368 is 863092557621.

126755290368 is a `hidden beast` number, since 1 + 26 + 7 + 552 + 9 + 0 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2148394723 + ... + 2148394781.

It is an arithmetic number, because the mean of its divisors is an integer number (439742072).

Almost surely, 2^126755290368 is an apocalyptic number.

126755290368 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 126755290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237460718880).

126755290368 is an abundant number, since it is smaller than the sum of its proper divisors (348166147392).

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

126755290368 is an equidigital number, since it uses as much as digits as its factorization.

126755290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 126755290368 in words is "one hundred twenty-six billion, seven hundred fifty-five million, two hundred ninety thousand, three hundred sixty-eight".