212006705768 has 128 divisors (see below), whose sum is σ = 492316272000. Its totient is φ = 84147102720.

The previous prime is 212006705767. The next prime is 212006705789. The reversal of 212006705768 is 867507600212.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (212006705767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15403946 + ... + 15417702.

It is an arithmetic number, because the mean of its divisors is an integer number (3846220875).

Almost surely, 2^212006705768 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 212006705768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246158136000).

212006705768 is an abundant number, since it is smaller than the sum of its proper divisors (280309566232).

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

212006705768 is a wasteful number, since it uses less digits than its factorization.

212006705768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14515 (or 14511 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 212006705768 in words is "two hundred twelve billion, six million, seven hundred five thousand, seven hundred sixty-eight".