212688459785340 has 864 divisors, whose sum is σ = 841880256182784. Its totient is φ = 43788630481920.

The previous prime is 212688459785299. The next prime is 212688459785371. The reversal of 212688459785340 is 43587954886212.

212688459785340 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 8 + 84 + 5 + 9 + 7 + 8 + 534 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4446083902 + ... + 4446131738.

It is an arithmetic number, because the mean of its divisors is an integer number (974398444656).

It is a 2-persistent number, because it is pandigital, and so is 2⋅212688459785340 = 425376919570680, but 3⋅212688459785340 = 638065379356020 is not.

Almost surely, 2^{212688459785340} is an apocalyptic number.

212688459785340 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 212688459785340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420940128091392).

212688459785340 is an abundant number, since it is smaller than the sum of its proper divisors (629191796397444).

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

212688459785340 is a wasteful number, since it uses less digits than its factorization.

212688459785340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48097 (or 47974 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 212688459785340 in words is "two hundred twelve trillion, six hundred eighty-eight billion, four hundred fifty-nine million, seven hundred eighty-five thousand, three hundred forty".