213022025664 has 224 divisors, whose sum is σ = 686124794880. Its totient is φ = 56939200512.

The previous prime is 213022025663. The next prime is 213022025737. The reversal of 213022025664 is 466520220312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022025663) 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, 3787702 + ... + 3843530.

It is an arithmetic number, because the mean of its divisors is an integer number (3063057120).

Almost surely, 2^213022025664 is an apocalyptic number.

213022025664 is a gapful number since it is divisible by the number (24) 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 213022025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062397440).

213022025664 is an abundant number, since it is smaller than the sum of its proper divisors (473102769216).

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

213022025664 is a wasteful number, since it uses less digits than its factorization.

213022025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56035 (or 56025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 213022025664 its reverse (466520220312), we get a palindrome (679542245976).

The spelling of 213022025664 in words is "two hundred thirteen billion, twenty-two million, twenty-five thousand, six hundred sixty-four".