126690235056 has 1440 divisors, whose sum is σ = 511751245824. Its totient is φ = 29561241600.

The previous prime is 126690235031. The next prime is 126690235069. The reversal of 126690235056 is 650532096621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1735482636 + ... + 1735482708.

Almost surely, 2^126690235056 is an apocalyptic number.

126690235056 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 126690235056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255875622912).

126690235056 is an abundant number, since it is smaller than the sum of its proper divisors (385061010768).

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

126690235056 is a wasteful number, since it uses less digits than its factorization.

126690235056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 126690235056 in words is "one hundred twenty-six billion, six hundred ninety million, two hundred thirty-five thousand, fifty-six".