211700407000 has 64 divisors (see below), whose sum is σ = 496215720000. Its totient is φ = 84537126400.

The previous prime is 211700406961. The next prime is 211700407007. The reversal of 211700407000 is 704007112.

211700407000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211700407007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414501 + ... + 771499.

It is an arithmetic number, because the mean of its divisors is an integer number (7753370625).

Almost surely, 2^211700407000 is an apocalyptic number.

211700407000 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 211700407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248107860000).

211700407000 is an abundant number, since it is smaller than the sum of its proper divisors (284515313000).

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

211700407000 is a wasteful number, since it uses less digits than its factorization.

211700407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357613 (or 357599 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The spelling of 211700407000 in words is "two hundred eleven billion, seven hundred million, four hundred seven thousand".