21052323412400 has 240 divisors, whose sum is σ = 58137300254400. Its totient is φ = 7176392294400.

The previous prime is 21052323412283. The next prime is 21052323412409. The reversal of 21052323412400 is 421432325012.

It is not an unprimeable number, because it can be changed into a prime (21052323412409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 359538326 + ... + 359596874.

It is an arithmetic number, because the mean of its divisors is an integer number (242238751060).

Almost surely, 2^{21052323412400} is an apocalyptic number.

21052323412400 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 21052323412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29068650127200).

21052323412400 is an abundant number, since it is smaller than the sum of its proper divisors (37084976842000).

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

21052323412400 is a wasteful number, since it uses less digits than its factorization.

21052323412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59312 (or 59301 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 21052323412400 its reverse (421432325012), we get a palindrome (21473755737412).

The spelling of 21052323412400 in words is "twenty-one trillion, fifty-two billion, three hundred twenty-three million, four hundred twelve thousand, four hundred".