213660115200 has 1080 divisors, whose sum is σ = 913666299392. Its totient is φ = 48253501440.

The previous prime is 213660115183. The next prime is 213660115219. The reversal of 213660115200 is 2511066312.

213660115200 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 601 + 1 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 351993297 + ... + 351993903.

Almost surely, 2^213660115200 is an apocalyptic number.

213660115200 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 213660115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456833149696).

213660115200 is an abundant number, since it is smaller than the sum of its proper divisors (700006184192).

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

213660115200 is an equidigital number, since it uses as much as digits as its factorization.

213660115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 213660115200 in words is "two hundred thirteen billion, six hundred sixty million, one hundred fifteen thousand, two hundred".