21522014400 has 336 divisors, whose sum is σ = 75922997760. Its totient is φ = 5320396800.

The previous prime is 21522014369. The next prime is 21522014401. The reversal of 21522014400 is 441022512.

It is not an unprimeable number, because it can be changed into a prime (21522014401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4283890 + ... + 4288910.

Almost surely, 2^21522014400 is an apocalyptic number.

21522014400 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 21522014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37961498880).

21522014400 is an abundant number, since it is smaller than the sum of its proper divisors (54400983360).

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

21522014400 is a wasteful number, since it uses less digits than its factorization.

21522014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 21522014400 its reverse (441022512), we get a palindrome (21963036912).

The spelling of 21522014400 in words is "twenty-one billion, five hundred twenty-two million, fourteen thousand, four hundred".