21334245600 has 144 divisors (see below), whose sum is σ = 69521300352. Its totient is φ = 5682716160.

The previous prime is 21334245599. The next prime is 21334245613. The reversal of 21334245600 is 654243312.

It is a super-2 number, since 2×21334245600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354679 + ... + 2363721.

It is an arithmetic number, because the mean of its divisors is an integer number (482786808).

Almost surely, 2^21334245600 is an apocalyptic number.

21334245600 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 21334245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760650176).

21334245600 is an abundant number, since it is smaller than the sum of its proper divisors (48187054752).

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

21334245600 is a wasteful number, since it uses less digits than its factorization.

21334245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 21334245600 its reverse (654243312), we get a palindrome (21988488912).

The spelling of 21334245600 in words is "twenty-one billion, three hundred thirty-four million, two hundred forty-five thousand, six hundred".