21431155200 has 480 divisors, whose sum is σ = 87148338816. Its totient is φ = 4521000960.

The previous prime is 21431155199. The next prime is 21431155243. The reversal of 21431155200 is 255113412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 3491334 + ... + 3497466.

Almost surely, 2^21431155200 is an apocalyptic number.

21431155200 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 21431155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574169408).

21431155200 is an abundant number, since it is smaller than the sum of its proper divisors (65717183616).

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

21431155200 is a wasteful number, since it uses less digits than its factorization.

21431155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 21431155200 its reverse (255113412), we get a palindrome (21686268612).

The spelling of 21431155200 in words is "twenty-one billion, four hundred thirty-one million, one hundred fifty-five thousand, two hundred".