213011366400 has 720 divisors, whose sum is σ = 899419243008. Its totient is φ = 47112192000.

The previous prime is 213011366377. The next prime is 213011366413. The reversal of 213011366400 is 4663110312.

213011366400 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 13 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24994140 + ... + 25002660.

Almost surely, 2^213011366400 is an apocalyptic number.

213011366400 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 213011366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449709621504).

213011366400 is an abundant number, since it is smaller than the sum of its proper divisors (686407876608).

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

213011366400 is a wasteful number, since it uses less digits than its factorization.

213011366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213011366400 its reverse (4663110312), we get a palindrome (217674476712).

The spelling of 213011366400 in words is "two hundred thirteen billion, eleven million, three hundred sixty-six thousand, four hundred".