213702328224000 has 2592 divisors, whose sum is σ = 971092159285248. Its totient is φ = 44170334208000.

The previous prime is 213702328223947. The next prime is 213702328224031. The reversal of 213702328224000 is 422823207312.

213702328224000 is a `hidden beast` number, since 2 + 1 + 370 + 2 + 3 + 282 + 2 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 48055389777 + ... + 48055394223.

Almost surely, 2^{213702328224000} is an apocalyptic number.

213702328224000 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 213702328224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485546079642624).

213702328224000 is an abundant number, since it is smaller than the sum of its proper divisors (757389831061248).

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

213702328224000 is a wasteful number, since it uses less digits than its factorization.

213702328224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 213702328224000 in words is "two hundred thirteen trillion, seven hundred two billion, three hundred twenty-eight million, two hundred twenty-four thousand".