21504145200 has 240 divisors, whose sum is σ = 70748912256. Its totient is φ = 5580288000.

The previous prime is 21504145199. The next prime is 21504145211. The reversal of 21504145200 is 254140512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 17904600 + ... + 17905800.

Almost surely, 2^21504145200 is an apocalyptic number.

21504145200 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 21504145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374456128).

21504145200 is an abundant number, since it is smaller than the sum of its proper divisors (49244767056).

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

21504145200 is a wasteful number, since it uses less digits than its factorization.

21504145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 21504145200 its reverse (254140512), we get a palindrome (21758285712).

The spelling of 21504145200 in words is "twenty-one billion, five hundred four million, one hundred forty-five thousand, two hundred".