213165142584320 has 176 divisors, whose sum is σ = 529028642499840. Its totient is φ = 82318150139904.

The previous prime is 213165142584293. The next prime is 213165142584379. The reversal of 213165142584320 is 23485241561312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739678897 + ... + 1739801423.

Almost surely, 2^{213165142584320} is an apocalyptic number.

213165142584320 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 213165142584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264514321249920).

213165142584320 is an abundant number, since it is smaller than the sum of its proper divisors (315863499915520).

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

213165142584320 is a wasteful number, since it uses less digits than its factorization.

213165142584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134298 (or 134280 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 213165142584320 in words is "two hundred thirteen trillion, one hundred sixty-five billion, one hundred forty-two million, five hundred eighty-four thousand, three hundred twenty".