213450080256 has 960 divisors, whose sum is σ = 784143144960. Its totient is φ = 56757583872.

The previous prime is 213450080209. The next prime is 213450080257. The reversal of 213450080256 is 652080054312.

213450080256 is a `hidden beast` number, since 21 + 3 + 4 + 500 + 80 + 2 + 56 = 666.

It is a super-2 number, since 2×213450080256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213450080256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213450080257) 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, 5768921070 + ... + 5768921106.

It is an arithmetic number, because the mean of its divisors is an integer number (816815776).

Almost surely, 2^213450080256 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 213450080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392071572480).

213450080256 is an abundant number, since it is smaller than the sum of its proper divisors (570693064704).

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

213450080256 is an frugal number, since it uses more digits than its factorization.

213450080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 213450080256 in words is "two hundred thirteen billion, four hundred fifty million, eighty thousand, two hundred fifty-six".