213760811424 has 96 divisors (see below), whose sum is σ = 576707281920. Its totient is φ = 69301469952.

The previous prime is 213760811387. The next prime is 213760811431. The reversal of 213760811424 is 424118067312.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297787 + ... + 718469.

It is an arithmetic number, because the mean of its divisors is an integer number (6007367520).

Almost surely, 2^213760811424 is an apocalyptic number.

213760811424 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 213760811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288353640960).

213760811424 is an abundant number, since it is smaller than the sum of its proper divisors (362946470496).

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

213760811424 is a wasteful number, since it uses less digits than its factorization.

213760811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420842 (or 420834 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 213760811424 its reverse (424118067312), we get a palindrome (637878878736).

The spelling of 213760811424 in words is "two hundred thirteen billion, seven hundred sixty million, eight hundred eleven thousand, four hundred twenty-four".