210891681000 has 2688 divisors, whose sum is σ = 1055294472960. Its totient is φ = 38071296000.

The previous prime is 210891680963. The next prime is 210891681067. The reversal of 210891681000 is 186198012.

210891681000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210891681000² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 12405392992 + ... + 12405393008.

It is an arithmetic number, because the mean of its divisors is an integer number (392594670).

Almost surely, 2^210891681000 is an apocalyptic number.

210891681000 is a gapful number since it is divisible by the number (20) 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 210891681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527647236480).

210891681000 is an abundant number, since it is smaller than the sum of its proper divisors (844402791960).

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

210891681000 is a wasteful number, since it uses less digits than its factorization.

210891681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 210891681000 in words is "two hundred ten billion, eight hundred ninety-one million, six hundred eighty-one thousand".