21853117584 has 135 divisors (see below), whose sum is σ = 62285785497. Its totient is φ = 7152509952.

The previous prime is 21853117579. The next prime is 21853117621. The reversal of 21853117584 is 48571135812.

The square root of 21853117584 is 147828.

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

21853117584 is a `hidden beast` number, since 2 + 1 + 8 + 53 + 1 + 17 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9812883600 + 12040233984 = 99060^2 + 109728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172071729 + ... + 172071855.

Almost surely, 2^21853117584 is an apocalyptic number.

21853117584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21853117584 is the 147828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21853117584

21853117584 is an abundant number, since it is smaller than the sum of its proper divisors (40432667913).

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

21853117584 is an equidigital number, since it uses as much as digits as its factorization.

21853117584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 229 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 21853117584 in words is "twenty-one billion, eight hundred fifty-three million, one hundred seventeen thousand, five hundred eighty-four".