213185276043264 has 1344 divisors, whose sum is σ = 740524098263040. Its totient is φ = 57835404656640.

The previous prime is 213185276043161. The next prime is 213185276043331. The reversal of 213185276043264 is 462340672581312.

213185276043264 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 8 + 5 + 2 + 7 + 604 + 3 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 213185276043264.

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, 122029350039 + ... + 122029351785.

It is an arithmetic number, because the mean of its divisors is an integer number (550985192160).

Almost surely, 2^{213185276043264} is an apocalyptic number.

213185276043264 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 213185276043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370262049131520).

213185276043264 is an abundant number, since it is smaller than the sum of its proper divisors (527338822219776).

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

213185276043264 is a wasteful number, since it uses less digits than its factorization.

213185276043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 213185276043264 in words is "two hundred thirteen trillion, one hundred eighty-five billion, two hundred seventy-six million, forty-three thousand, two hundred sixty-four".