213230178604800 has 2160 divisors, whose sum is σ = 953289582784000. Its totient is φ = 45938169446400.

The previous prime is 213230178604787. The next prime is 213230178604801. The reversal of 213230178604800 is 8406871032312.

213230178604800 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 30 + 1 + 7 + 8 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213230178604801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13720485030 + ... + 13720500570.

Almost surely, 2^{213230178604800} is an apocalyptic number.

213230178604800 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 213230178604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476644791392000).

213230178604800 is an abundant number, since it is smaller than the sum of its proper divisors (740059404179200).

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

213230178604800 is a wasteful number, since it uses less digits than its factorization.

213230178604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15804 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 213230178604800 in words is "two hundred thirteen trillion, two hundred thirty billion, one hundred seventy-eight million, six hundred four thousand, eight hundred".