213010223025600 has 4032 divisors, whose sum is σ = 1043431256125440. Its totient is φ = 39784189132800.

The previous prime is 213010223025581. The next prime is 213010223025707. The reversal of 213010223025600 is 6520322010312.

It is a happy number.

213010223025600 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 0 + 2 + 2 + 30 + 25 + 600 = 666.

213010223025600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×213010223025600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 155142186514 + ... + 155142187886.

It is an arithmetic number, because the mean of its divisors is an integer number (258787513920).

Almost surely, 2^{213010223025600} is an apocalyptic number.

213010223025600 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 213010223025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521715628062720).

213010223025600 is an abundant number, since it is smaller than the sum of its proper divisors (830421033099840).

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

213010223025600 is a wasteful number, since it uses less digits than its factorization.

213010223025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 213010223025600 its reverse (6520322010312), we get a palindrome (219530545035912).

The spelling of 213010223025600 in words is "two hundred thirteen trillion, ten billion, two hundred twenty-three million, twenty-five thousand, six hundred".