213831830880 has 192 divisors, whose sum is σ = 761097254400. Its totient is φ = 56055283200.

The previous prime is 213831830857. The next prime is 213831830893. The reversal of 213831830880 is 88038138312.

213831830880 is a `hidden beast` number, since 21 + 3 + 8 + 318 + 308 + 8 + 0 = 666.

213831830880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 164596 + ... + 674355.

It is an arithmetic number, because the mean of its divisors is an integer number (3964048200).

Almost surely, 2^213831830880 is an apocalyptic number.

213831830880 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 213831830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380548627200).

213831830880 is an abundant number, since it is smaller than the sum of its proper divisors (547265423520).

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

213831830880 is a wasteful number, since it uses less digits than its factorization.

213831830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839034 (or 839020 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 213831830880 in words is "two hundred thirteen billion, eight hundred thirty-one million, eight hundred thirty thousand, eight hundred eighty".