201891786772896 has 576 divisors, whose sum is σ = 641576429125632. Its totient is φ = 59709000960000.

The previous prime is 201891786772843. The next prime is 201891786772957. The reversal of 201891786772896 is 698277687198102.

201891786772896 is a `hidden beast` number, since 2 + 0 + 189 + 17 + 86 + 77 + 289 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13168851951 + ... + 13168867281.

It is an arithmetic number, because the mean of its divisors is an integer number (1113847967232).

Almost surely, 2^{201891786772896} 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 201891786772896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320788214562816).

201891786772896 is an abundant number, since it is smaller than the sum of its proper divisors (439684642352736).

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

201891786772896 is a wasteful number, since it uses less digits than its factorization.

201891786772896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16017 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 81.

The spelling of 201891786772896 in words is "two hundred one trillion, eight hundred ninety-one billion, seven hundred eighty-six million, seven hundred seventy-two thousand, eight hundred ninety-six".