213505402400 has 72 divisors (see below), whose sum is σ = 522019533924. Its totient is φ = 85271168000.

The previous prime is 213505402387. The next prime is 213505402447. The reversal of 213505402400 is 4204505312.

It is a happy number.

213505402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 105424894864 + 108080507536 = 324692^2 + 328756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213505402400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318050 + ... + 726750.

Almost surely, 2^213505402400 is an apocalyptic number.

213505402400 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 213505402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261009766962).

213505402400 is an abundant number, since it is smaller than the sum of its proper divisors (308514131524).

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

213505402400 is a wasteful number, since it uses less digits than its factorization.

213505402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409374 (or 409361 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 213505402400 its reverse (4204505312), we get a palindrome (217709907712).

The spelling of 213505402400 in words is "two hundred thirteen billion, five hundred five million, four hundred two thousand, four hundred".