21541432900 has 81 divisors (see below), whose sum is σ = 50662142181. Its totient is φ = 7946714880.

The previous prime is 21541432883. The next prime is 21541432901. The reversal of 21541432900 is 923414512.

The square root of 21541432900 is 146770.

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 20355870276 + 1185562624 = 142674^2 + 34432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21541432901) 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, 19079536 + ... + 19080664.

Almost surely, 2^21541432900 is an apocalyptic number.

21541432900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21541432900 is the 146770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21541432900

21541432900 is an abundant number, since it is smaller than the sum of its proper divisors (29120709281).

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

21541432900 is a wasteful number, since it uses less digits than its factorization.

21541432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 21541432900 in words is "twenty-one billion, five hundred forty-one million, four hundred thirty-two thousand, nine hundred".