213054712320 has 160 divisors (see below), whose sum is σ = 686475491328. Its totient is φ = 56366972928.

The previous prime is 213054712313. The next prime is 213054712399. The reversal of 213054712320 is 23217450312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866142 + ... + 1084578.

Almost surely, 2^213054712320 is an apocalyptic number.

213054712320 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 213054712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343237745664).

213054712320 is an abundant number, since it is smaller than the sum of its proper divisors (473420779008).

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

213054712320 is a wasteful number, since it uses less digits than its factorization.

213054712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218590 (or 218574 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 213054712320 in words is "two hundred thirteen billion, fifty-four million, seven hundred twelve thousand, three hundred twenty".