213568249600512 has 240 divisors, whose sum is σ = 630047927789280. Its totient is φ = 69618683437056.

The previous prime is 213568249600469. The next prime is 213568249600591. The reversal of 213568249600512 is 215006942865312.

213568249600512 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 6 + 8 + 24 + 9 + 600 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×213568249600512² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73552539 + ... + 76400997.

It is an arithmetic number, because the mean of its divisors is an integer number (2625199699122).

Almost surely, 2^{213568249600512} 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 213568249600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315023963894640).

213568249600512 is an abundant number, since it is smaller than the sum of its proper divisors (416479678188768).

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

213568249600512 is a wasteful number, since it uses less digits than its factorization.

213568249600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848843 (or 2848824 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 213568249600512 in words is "two hundred thirteen trillion, five hundred sixty-eight billion, two hundred forty-nine million, six hundred thousand, five hundred twelve".