213705322880 has 192 divisors, whose sum is σ = 600078754080. Its totient is φ = 72557936640.

The previous prime is 213705322841. The next prime is 213705322907. The reversal of 213705322880 is 88223507312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3197000 + ... + 3263160.

Almost surely, 2^213705322880 is an apocalyptic number.

213705322880 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 213705322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300039377040).

213705322880 is an abundant number, since it is smaller than the sum of its proper divisors (386373431200).

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

213705322880 is a wasteful number, since it uses less digits than its factorization.

213705322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66297 (or 66278 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 213705322880 in words is "two hundred thirteen billion, seven hundred five million, three hundred twenty-two thousand, eight hundred eighty".