213004795392 has 560 divisors, whose sum is σ = 676250467200. Its totient is φ = 66886041600.

The previous prime is 213004795391. The next prime is 213004795397. The reversal of 213004795392 is 293597400312.

213004795392 is a `hidden beast` number, since 2 + 130 + 0 + 47 + 95 + 392 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213004795391) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 474397984 + ... + 474398432.

It is an arithmetic number, because the mean of its divisors is an integer number (1207590120).

Almost surely, 2^213004795392 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 213004795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338125233600).

213004795392 is an abundant number, since it is smaller than the sum of its proper divisors (463245671808).

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

213004795392 is an frugal number, since it uses more digits than its factorization.

213004795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 213004795392 in words is "two hundred thirteen billion, four million, seven hundred ninety-five thousand, three hundred ninety-two".