21502416000 has 512 divisors, whose sum is σ = 81319230720. Its totient is φ = 4979097600.

The previous prime is 21502415989. The next prime is 21502416007. The reversal of 21502416000 is 61420512.

It is not an unprimeable number, because it can be changed into a prime (21502416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10606987 + ... + 10609013.

Almost surely, 2^21502416000 is an apocalyptic number.

21502416000 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 21502416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40659615360).

21502416000 is an abundant number, since it is smaller than the sum of its proper divisors (59816814720).

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

21502416000 is a wasteful number, since it uses less digits than its factorization.

21502416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21502416000 its reverse (61420512), we get a palindrome (21563836512).

The spelling of 21502416000 in words is "twenty-one billion, five hundred two million, four hundred sixteen thousand".