126891883008 has 180 divisors, whose sum is σ = 402539531394. Its totient is φ = 38451916800.

The previous prime is 126891883003. The next prime is 126891883009. The reversal of 126891883008 is 800388198621.

It can be written as a sum of positive squares in only one way, i.e., 96716024064 + 30175858944 = 310992^2 + 173712^2 .

It is a super-2 number, since 2×126891883008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126891883003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 443778 + ... + 671358.

Almost surely, 2^126891883008 is an apocalyptic number.

126891883008 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 126891883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201269765697).

126891883008 is an abundant number, since it is smaller than the sum of its proper divisors (275647648386).

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

126891883008 is a wasteful number, since it uses less digits than its factorization.

126891883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227627 (or 227597 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 126891883008 in words is "one hundred twenty-six billion, eight hundred ninety-one million, eight hundred eighty-three thousand, eight".