213551224000 has 112 divisors (see below), whose sum is σ = 529384564800. Its totient is φ = 85335705600.

The previous prime is 213551223983. The next prime is 213551224037. The reversal of 213551224000 is 422155312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8379277 + ... + 8404723.

It is an arithmetic number, because the mean of its divisors is an integer number (4726647900).

Almost surely, 2^213551224000 is an apocalyptic number.

213551224000 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 213551224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264692282400).

213551224000 is an abundant number, since it is smaller than the sum of its proper divisors (315833340800).

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

213551224000 is a wasteful number, since it uses less digits than its factorization.

213551224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26523 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 213551224000 its reverse (422155312), we get a palindrome (213973379312).

It can be divided in two parts, 2135512 and 24000, that added together give a palindrome (2159512).

The spelling of 213551224000 in words is "two hundred thirteen billion, five hundred fifty-one million, two hundred twenty-four thousand".