213164851200 has 384 divisors, whose sum is σ = 805612842240. Its totient is φ = 48719462400.

The previous prime is 213164851171. The next prime is 213164851223. The reversal of 213164851200 is 2158461312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 17197005 + ... + 17209395.

It is an arithmetic number, because the mean of its divisors is an integer number (2097950110).

Almost surely, 2^213164851200 is an apocalyptic number.

213164851200 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 213164851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402806421120).

213164851200 is an abundant number, since it is smaller than the sum of its proper divisors (592447991040).

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

213164851200 is an equidigital number, since it uses as much as digits as its factorization.

213164851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 213164851200 in words is "two hundred thirteen billion, one hundred sixty-four million, eight hundred fifty-one thousand, two hundred".