213660357120 has 640 divisors, whose sum is σ = 872558438400. Its totient is φ = 48544137216.

The previous prime is 213660357101. The next prime is 213660357121. The reversal of 213660357120 is 21753066312.

213660357120 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 60 + 3 + 571 + 20 = 666.

213660357120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (213660357121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86606127 + ... + 86608593.

It is an arithmetic number, because the mean of its divisors is an integer number (1363372560).

Almost surely, 2^213660357120 is an apocalyptic number.

213660357120 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 213660357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436279219200).

213660357120 is an abundant number, since it is smaller than the sum of its proper divisors (658898081280).

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

213660357120 is a wasteful number, since it uses less digits than its factorization.

213660357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 213660357120 in words is "two hundred thirteen billion, six hundred sixty million, three hundred fifty-seven thousand, one hundred twenty".