21416311500 has 192 divisors, whose sum is σ = 64822343040. Its totient is φ = 5487820800.

The previous prime is 21416311481. The next prime is 21416311507. The reversal of 21416311500 is 511361412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21416311507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10134444 + ... + 10136556.

It is an arithmetic number, because the mean of its divisors is an integer number (337616370).

Almost surely, 2^21416311500 is an apocalyptic number.

21416311500 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 21416311500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32411171520).

21416311500 is an abundant number, since it is smaller than the sum of its proper divisors (43406031540).

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

21416311500 is a wasteful number, since it uses less digits than its factorization.

21416311500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 21416311500 its reverse (511361412), we get a palindrome (21927672912).

The spelling of 21416311500 in words is "twenty-one billion, four hundred sixteen million, three hundred eleven thousand, five hundred".