213269270091264 has 960 divisors, whose sum is σ = 692860366598400. Its totient is φ = 65278172823552.

The previous prime is 213269270091223. The next prime is 213269270091271. The reversal of 213269270091264 is 462190072962312.

It is a happy number.

213269270091264 is a `hidden beast` number, since 2 + 1 + 3 + 26 + 9 + 270 + 0 + 91 + 264 = 666.

213269270091264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 213269270091264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10398803442 + ... + 10398823950.

It is an arithmetic number, because the mean of its divisors is an integer number (721729548540).

Almost surely, 2^{213269270091264} is an apocalyptic number.

213269270091264 is a gapful number since it is divisible by the number (24) 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 213269270091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346430183299200).

213269270091264 is an abundant number, since it is smaller than the sum of its proper divisors (479591096507136).

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

213269270091264 is an equidigital number, since it uses as much as digits as its factorization.

213269270091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20697 (or 20669 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 213269270091264 in words is "two hundred thirteen trillion, two hundred sixty-nine billion, two hundred seventy million, ninety-one thousand, two hundred sixty-four".