21088848400 has 135 divisors (see below), whose sum is σ = 52019642101. Its totient is φ = 8215966720.

The previous prime is 21088848397. The next prime is 21088848409. The reversal of 21088848400 is 484888012.

It is a happy number.

The square root of 21088848400 is 145220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6933559824 + 14155288576 = 83268^2 + 118976^2 .

It is a super-3 number, since 3×21088848400³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21088848409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153933132 + ... + 153933268.

Almost surely, 2^21088848400 is an apocalyptic number.

21088848400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21088848400 is the 145220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21088848400

21088848400 is an abundant number, since it is smaller than the sum of its proper divisors (30930793701).

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

21088848400 is an equidigital number, since it uses as much as digits as its factorization.

21088848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The spelling of 21088848400 in words is "twenty-one billion, eighty-eight million, eight hundred forty-eight thousand, four hundred".