213255000640 has 112 divisors (see below), whose sum is σ = 554150686464. Its totient is φ = 77523148800.

The previous prime is 213255000613. The next prime is 213255000643. The reversal of 213255000640 is 46000552312.

It is a junction number, because it is equal to n+sod(n) for n = 213255000599 and 213255000608.

It is not an unprimeable number, because it can be changed into a prime (213255000643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14463352 + ... + 14478088.

Almost surely, 2^213255000640 is an apocalyptic number.

213255000640 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 213255000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277075343232).

213255000640 is an abundant number, since it is smaller than the sum of its proper divisors (340895685824).

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

213255000640 is a wasteful number, since it uses less digits than its factorization.

213255000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18876 (or 18866 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 213255000640 its reverse (46000552312), we get a palindrome (259255552952).

The spelling of 213255000640 in words is "two hundred thirteen billion, two hundred fifty-five million, six hundred forty", and thus it is an aban number.