21315406200 has 192 divisors, whose sum is σ = 72391795200. Its totient is φ = 5145369600.

The previous prime is 21315406171. The next prime is 21315406213. The reversal of 21315406200 is 260451312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570644 + ... + 1584156.

It is an arithmetic number, because the mean of its divisors is an integer number (377040600).

Almost surely, 2^21315406200 is an apocalyptic number.

21315406200 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 21315406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36195897600).

21315406200 is an abundant number, since it is smaller than the sum of its proper divisors (51076389000).

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

21315406200 is a wasteful number, since it uses less digits than its factorization.

21315406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13782 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21315406200 its reverse (260451312), we get a palindrome (21575857512).

The spelling of 21315406200 in words is "twenty-one billion, three hundred fifteen million, four hundred six thousand, two hundred".