213164939520 has 720 divisors, whose sum is σ = 831112516080. Its totient is φ = 51852607488.

The previous prime is 213164939503. The next prime is 213164939521. The reversal of 213164939520 is 25939461312.

213164939520 is a `hidden beast` number, since 2 + 1 + 31 + 6 + 4 + 93 + 9 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36845570304 + 176319369216 = 191952^2 + 419904^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213164939521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119956872 + ... + 119958648.

It is an arithmetic number, because the mean of its divisors is an integer number (1154322939).

Almost surely, 2^213164939520 is an apocalyptic number.

213164939520 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 213164939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415556258040).

213164939520 is an abundant number, since it is smaller than the sum of its proper divisors (617947576560).

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

213164939520 is a wasteful number, since it uses less digits than its factorization.

213164939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 213164939520 in words is "two hundred thirteen billion, one hundred sixty-four million, nine hundred thirty-nine thousand, five hundred twenty".