126826293888 has 384 divisors, whose sum is σ = 438826766400. Its totient is φ = 35953182720.

The previous prime is 126826293863. The next prime is 126826293899. The reversal of 126826293888 is 888392628621.

126826293888 is a `hidden beast` number, since 1 + 268 + 2 + 6 + 293 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22181206 + ... + 22186922.

Almost surely, 2^126826293888 is an apocalyptic number.

126826293888 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 126826293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219413383200).

126826293888 is an abundant number, since it is smaller than the sum of its proper divisors (312000472512).

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

126826293888 is a wasteful number, since it uses less digits than its factorization.

126826293888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5860 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 126826293888 in words is "one hundred twenty-six billion, eight hundred twenty-six million, two hundred ninety-three thousand, eight hundred eighty-eight".