21282736400 has 120 divisors (see below), whose sum is σ = 51744545280. Its totient is φ = 8411576320.

The previous prime is 21282736357. The next prime is 21282736403. The reversal of 21282736400 is 463728212.

It is not an unprimeable number, because it can be changed into a prime (21282736403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21650309 + ... + 21651291.

It is an arithmetic number, because the mean of its divisors is an integer number (431204544).

Almost surely, 2^21282736400 is an apocalyptic number.

21282736400 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 21282736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25872272640).

21282736400 is an abundant number, since it is smaller than the sum of its proper divisors (30461808880).

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

21282736400 is a wasteful number, since it uses less digits than its factorization.

21282736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 21282736400 in words is "twenty-one billion, two hundred eighty-two million, seven hundred thirty-six thousand, four hundred".