213310904800 has 144 divisors (see below), whose sum is σ = 595360644480. Its totient is φ = 73107740160.

The previous prime is 213310904791. The next prime is 213310904801. The reversal of 213310904800 is 8409013312.

It is a super-4 number, since 4×213310904800⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213310904801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19857831 + ... + 19868569.

It is an arithmetic number, because the mean of its divisors is an integer number (4134448920).

Almost surely, 2^213310904800 is an apocalyptic number.

213310904800 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 213310904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297680322240).

213310904800 is an abundant number, since it is smaller than the sum of its proper divisors (382049739680).

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

213310904800 is a wasteful number, since it uses less digits than its factorization.

213310904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 213310904800 in words is "two hundred thirteen billion, three hundred ten million, nine hundred four thousand, eight hundred".