126259827456 has 144 divisors (see below), whose sum is σ = 388902886400. Its totient is φ = 35617480704.

The previous prime is 126259827433. The next prime is 126259827461. The reversal of 126259827456 is 654728952621.

It is a junction number, because it is equal to n+sod(n) for n = 126259827396 and 126259827405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276060 + ... + 573348.

Almost surely, 2^126259827456 is an apocalyptic number.

126259827456 is a gapful number since it is divisible by the number (16) 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 126259827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451443200).

126259827456 is an abundant number, since it is smaller than the sum of its proper divisors (262643058944).

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

126259827456 is an equidigital number, since it uses as much as digits as its factorization.

126259827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297394 (or 297380 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 126259827456 in words is "one hundred twenty-six billion, two hundred fifty-nine million, eight hundred twenty-seven thousand, four hundred fifty-six".