213563434470880 has 384 divisors, whose sum is σ = 559589129648640. Its totient is φ = 76533387632640.

The previous prime is 213563434470863. The next prime is 213563434470887. The reversal of 213563434470880 is 88074434365312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213563434470887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17733402139 + ... + 17733414181.

It is an arithmetic number, because the mean of its divisors is an integer number (1457263358460).

Almost surely, 2^{213563434470880} is an apocalyptic number.

213563434470880 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 213563434470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279794564824320).

213563434470880 is an abundant number, since it is smaller than the sum of its proper divisors (346025695177760).

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

213563434470880 is a wasteful number, since it uses less digits than its factorization.

213563434470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 213563434470880 in words is "two hundred thirteen trillion, five hundred sixty-three billion, four hundred thirty-four million, four hundred seventy thousand, eight hundred eighty".