213479080320 has 768 divisors, whose sum is σ = 798904995840. Its totient is φ = 48282009600.

The previous prime is 213479080259. The next prime is 213479080447. The reversal of 213479080320 is 23080974312.

213479080320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213479080320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754342899 + ... + 754343181.

It is an arithmetic number, because the mean of its divisors is an integer number (1040240880).

Almost surely, 2^213479080320 is an apocalyptic number.

213479080320 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 213479080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399452497920).

213479080320 is an abundant number, since it is smaller than the sum of its proper divisors (585425915520).

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

213479080320 is a wasteful number, since it uses less digits than its factorization.

213479080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 213479080320 in words is "two hundred thirteen billion, four hundred seventy-nine million, eighty thousand, three hundred twenty".