213045780800 has 84 divisors (see below), whose sum is σ = 531609519456. Its totient is φ = 84018009600.

The previous prime is 213045780797. The next prime is 213045780977. The reversal of 213045780800 is 8087540312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824102 + ... + 1051301.

Almost surely, 2^213045780800 is an apocalyptic number.

213045780800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213045780800 is an abundant number, since it is smaller than the sum of its proper divisors (318563738656).

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

213045780800 is a wasteful number, since it uses less digits than its factorization.

213045780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875496 (or 1875481 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 213045780800 in words is "two hundred thirteen billion, forty-five million, seven hundred eighty thousand, eight hundred".