201126680031888 has 960 divisors, whose sum is σ = 644464249648128. Its totient is φ = 58091270307840.

The previous prime is 201126680031881. The next prime is 201126680031889. The reversal of 201126680031888 is 888130086621102.

201126680031888 is a `hidden beast` number, since 2 + 0 + 112 + 66 + 80 + 0 + 318 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (201126680031881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310860401581 + ... + 310860402227.

Almost surely, 2^{201126680031888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201126680031888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322232124824064).

201126680031888 is an abundant number, since it is smaller than the sum of its proper divisors (443337569616240).

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

201126680031888 is a wasteful number, since it uses less digits than its factorization.

201126680031888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 201126680031888 in words is "two hundred one trillion, one hundred twenty-six billion, six hundred eighty million, thirty-one thousand, eight hundred eighty-eight".