213995420800 has 96 divisors (see below), whose sum is σ = 604154992320. Its totient is φ = 73369850880.

The previous prime is 213995420791. The next prime is 213995420839. The reversal of 213995420800 is 8024599312.

213995420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 4754284 + ... + 4799083.

It is an arithmetic number, because the mean of its divisors is an integer number (6293281170).

Almost surely, 2^213995420800 is an apocalyptic number.

213995420800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213995420800 is an abundant number, since it is smaller than the sum of its proper divisors (390159571520).

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

213995420800 is an equidigital number, since it uses as much as digits as its factorization.

213995420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553398 (or 9553381 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 213995420800 in words is "two hundred thirteen billion, nine hundred ninety-five million, four hundred twenty thousand, eight hundred".