213292575600 has 960 divisors, whose sum is σ = 792774259200. Its totient is φ = 48642048000.

The previous prime is 213292575521. The next prime is 213292575611. The reversal of 213292575600 is 6575292312.

213292575600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1628187535 + ... + 1628187665.

It is an arithmetic number, because the mean of its divisors is an integer number (825806520).

Almost surely, 2^213292575600 is an apocalyptic number.

213292575600 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 213292575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396387129600).

213292575600 is an abundant number, since it is smaller than the sum of its proper divisors (579481683600).

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

213292575600 is a wasteful number, since it uses less digits than its factorization.

213292575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 213292575600 in words is "two hundred thirteen billion, two hundred ninety-two million, five hundred seventy-five thousand, six hundred".