213144225350400 has 648 divisors, whose sum is σ = 782844645360960. Its totient is φ = 55287426908160.

The previous prime is 213144225350389. The next prime is 213144225350423. The reversal of 213144225350400 is 4053522441312.

It is a happy number.

213144225350400 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 44 + 225 + 350 + 40 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9511534396 + ... + 9511556804.

It is an arithmetic number, because the mean of its divisors is an integer number (1208093588520).

Almost surely, 2^{213144225350400} is an apocalyptic number.

213144225350400 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 213144225350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391422322680480).

213144225350400 is an abundant number, since it is smaller than the sum of its proper divisors (569700420010560).

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

213144225350400 is a wasteful number, since it uses less digits than its factorization.

213144225350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26941 (or 26919 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 213144225350400 its reverse (4053522441312), we get a palindrome (217197747791712).

The spelling of 213144225350400 in words is "two hundred thirteen trillion, one hundred forty-four billion, two hundred twenty-five million, three hundred fifty thousand, four hundred".