213786563328 has 324 divisors, whose sum is σ = 689381417088. Its totient is φ = 65773762560.

The previous prime is 213786563327. The next prime is 213786563339. The reversal of 213786563328 is 823365687312.

It is a happy number.

213786563328 is a `hidden beast` number, since 2 + 1 + 3 + 78 + 6 + 563 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (213786563327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21830113 + ... + 21839903.

Almost surely, 2^213786563328 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 213786563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344690708544).

213786563328 is an abundant number, since it is smaller than the sum of its proper divisors (475594853760).

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

213786563328 is an frugal number, since it uses more digits than its factorization.

213786563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9809 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 213786563328 in words is "two hundred thirteen billion, seven hundred eighty-six million, five hundred sixty-three thousand, three hundred twenty-eight".