21827107600 has 135 divisors (see below), whose sum is σ = 53682135583. Its totient is φ = 8528734720.

The previous prime is 21827107583. The next prime is 21827107613. The reversal of 21827107600 is 670172812.

It is a happy number.

The square root of 21827107600 is 147740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4542220816 + 17284886784 = 67396^2 + 131472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245248356 + ... + 245248444.

Almost surely, 2^21827107600 is an apocalyptic number.

21827107600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21827107600 is the 147740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21827107600

21827107600 is an abundant number, since it is smaller than the sum of its proper divisors (31855027983).

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

21827107600 is an frugal number, since it uses more digits than its factorization.

21827107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 21827107600 in words is "twenty-one billion, eight hundred twenty-seven million, one hundred seven thousand, six hundred".