213730066000 has 160 divisors (see below), whose sum is σ = 567381185280. Its totient is φ = 77223744000.

The previous prime is 213730065973. The next prime is 213730066003. The reversal of 213730066000 is 660037312.

It is a super-2 number, since 2×213730066000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213730066000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213730066003) 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, 3423061 + ... + 3484939.

It is an arithmetic number, because the mean of its divisors is an integer number (3546132408).

Almost surely, 2^213730066000 is an apocalyptic number.

213730066000 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 213730066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283690592640).

213730066000 is an abundant number, since it is smaller than the sum of its proper divisors (353651119280).

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

213730066000 is a wasteful number, since it uses less digits than its factorization.

213730066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62070 (or 62054 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 213730066000 in words is "two hundred thirteen billion, seven hundred thirty million, sixty-six thousand".