213486322560 has 512 divisors, whose sum is σ = 822069734400. Its totient is φ = 46034583552.

The previous prime is 213486322559. The next prime is 213486322561. The reversal of 213486322560 is 65223684312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213486322559) and next prime (213486322561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213486322561) 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, 65625894 + ... + 65629146.

It is an arithmetic number, because the mean of its divisors is an integer number (1605604950).

Almost surely, 2^213486322560 is an apocalyptic number.

213486322560 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 213486322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411034867200).

213486322560 is an abundant number, since it is smaller than the sum of its proper divisors (608583411840).

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

213486322560 is a wasteful number, since it uses less digits than its factorization.

213486322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 213486322560 in words is "two hundred thirteen billion, four hundred eighty-six million, three hundred twenty-two thousand, five hundred sixty".