21853724160 has 160 divisors (see below), whose sum is σ = 72901762560. Its totient is φ = 5574238208.

The previous prime is 21853724159. The next prime is 21853724173. The reversal of 21853724160 is 6142735812.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×21853724160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114781 + ... + 238499.

It is an arithmetic number, because the mean of its divisors is an integer number (455636016).

Almost surely, 2^21853724160 is an apocalyptic number.

21853724160 is a gapful number since it is divisible by the number (20) 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 21853724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36450881280).

21853724160 is an abundant number, since it is smaller than the sum of its proper divisors (51048038400).

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

21853724160 is a wasteful number, since it uses less digits than its factorization.

21853724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123768 (or 123752 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 21853724160 in words is "twenty-one billion, eight hundred fifty-three million, seven hundred twenty-four thousand, one hundred sixty".