215211427200 has 1920 divisors, whose sum is σ = 1018149834240. Its totient is φ = 43462656000.

The previous prime is 215211427169. The next prime is 215211427217. The reversal of 215211427200 is 2724112512.

It is a happy number.

215211427200 is a `hidden beast` number, since 2 + 1 + 5 + 211 + 427 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 818294269 + ... + 818294531.

It is an arithmetic number, because the mean of its divisors is an integer number (530286372).

Almost surely, 2^215211427200 is an apocalyptic number.

215211427200 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 215211427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509074917120).

215211427200 is an abundant number, since it is smaller than the sum of its proper divisors (802938407040).

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

215211427200 is a wasteful number, since it uses less digits than its factorization.

215211427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 215211427200 its reverse (2724112512), we get a palindrome (217935539712).

It can be divided in two parts, 215211 and 427200, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 215211427200 in words is "two hundred fifteen billion, two hundred eleven million, four hundred twenty-seven thousand, two hundred".