21886243600 has 135 divisors (see below), whose sum is σ = 57037822653. Its totient is φ = 8066872320.

The previous prime is 21886243571. The next prime is 21886243627. The reversal of 21886243600 is 634268812.

The square root of 21886243600 is 147940.

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 21600768784 + 285474816 = 146972^2 + 16896^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 38464116 + ... + 38464684.

Almost surely, 2^21886243600 is an apocalyptic number.

21886243600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21886243600 is the 147940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21886243600

21886243600 is an abundant number, since it is smaller than the sum of its proper divisors (35151579053).

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

21886243600 is an equidigital number, since it uses as much as digits as its factorization.

21886243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 21886243600 in words is "twenty-one billion, eight hundred eighty-six million, two hundred forty-three thousand, six hundred".