213552253200000 has 2304 divisors, whose sum is σ = 866688572131200. Its totient is φ = 46126080000000.

The previous prime is 213552253199951. The next prime is 213552253200059. The reversal of 213552253200000 is 2352255312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64693198350 + ... + 64693201650.

Almost surely, 2^{213552253200000} is an apocalyptic number.

213552253200000 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 213552253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433344286065600).

213552253200000 is an abundant number, since it is smaller than the sum of its proper divisors (653136318931200).

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

213552253200000 is a wasteful number, since it uses less digits than its factorization.

213552253200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 213552253200000 in words is "two hundred thirteen trillion, five hundred fifty-two billion, two hundred fifty-three million, two hundred thousand".