213264221616000 has 384 divisors, whose sum is σ = 778866270904800. Its totient is φ = 55906550784000.

The previous prime is 213264221615983. The next prime is 213264221616011. The reversal of 213264221616000 is 616122462312.

213264221616000 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 6 + 42 + 2 + 1 + 6 + 1 + 600 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054861 + ... + 21046860.

Almost surely, 2^{213264221616000} is an apocalyptic number.

213264221616000 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 213264221616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389433135452400).

213264221616000 is an abundant number, since it is smaller than the sum of its proper divisors (565602049288800).

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

213264221616000 is a wasteful number, since it uses less digits than its factorization.

213264221616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25101815 (or 25101790 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 213264221616000 in words is "two hundred thirteen trillion, two hundred sixty-four billion, two hundred twenty-one million, six hundred sixteen thousand".