21152430144 has 84 divisors (see below), whose sum is σ = 60792785196. Its totient is φ = 7031835648.

The previous prime is 21152430127. The next prime is 21152430157. The reversal of 21152430144 is 44103425112.

21152430144 is a `hidden beast` number, since 211 + 5 + 2 + 430 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17297510400 + 3854919744 = 131520^2 + 62088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165622 + ... + 264074.

Almost surely, 2^21152430144 is an apocalyptic number.

21152430144 is a gapful number since it is divisible by the number (24) 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 21152430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30396392598).

21152430144 is an abundant number, since it is smaller than the sum of its proper divisors (39640355052).

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

21152430144 is a wasteful number, since it uses less digits than its factorization.

21152430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98844 (or 98831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21152430144 its reverse (44103425112), we get a palindrome (65255855256).

The spelling of 21152430144 in words is "twenty-one billion, one hundred fifty-two million, four hundred thirty thousand, one hundred forty-four".