213219323412480 has 4320 divisors, whose sum is σ = 1016382841531200. Its totient is φ = 42378995957760.

The previous prime is 213219323412391. The next prime is 213219323412539. The reversal of 213219323412480 is 84214323912312.

213219323412480 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 193 + 2 + 3 + 412 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9270405365749 + ... + 9270405365771.

It is an arithmetic number, because the mean of its divisors is an integer number (235273805910).

Almost surely, 2^{213219323412480} is an apocalyptic number.

213219323412480 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 213219323412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508191420765600).

213219323412480 is an abundant number, since it is smaller than the sum of its proper divisors (803163518118720).

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

213219323412480 is an frugal number, since it uses more digits than its factorization.

213219323412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 213219323412480 in words is "two hundred thirteen trillion, two hundred nineteen billion, three hundred twenty-three million, four hundred twelve thousand, four hundred eighty".