210191642712 has 256 divisors, whose sum is σ = 614167142400. Its totient is φ = 67375929600.

The previous prime is 210191642707. The next prime is 210191642819. The reversal of 210191642712 is 217246191012.

210191642712 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 9 + 1 + 642 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50928793 + ... + 50932919.

It is an arithmetic number, because the mean of its divisors is an integer number (2399090400).

Almost surely, 2^210191642712 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 210191642712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307083571200).

210191642712 is an abundant number, since it is smaller than the sum of its proper divisors (403975499688).

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

210191642712 is an equidigital number, since it uses as much as digits as its factorization.

210191642712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 210191642712 in words is "two hundred ten billion, one hundred ninety-one million, six hundred forty-two thousand, seven hundred twelve".