21744282960 has 120 divisors (see below), whose sum is σ = 73428440904. Its totient is φ = 5766405120.

The previous prime is 21744282949. The next prime is 21744283003. The reversal of 21744282960 is 6928244712.

21744282960 is a `hidden beast` number, since 217 + 4 + 428 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 21736194624 = 2844^2 + 147432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46894 + ... + 213746.

Almost surely, 2^21744282960 is an apocalyptic number.

21744282960 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 21744282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36714220452).

21744282960 is an abundant number, since it is smaller than the sum of its proper divisors (51684157944).

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

21744282960 is a wasteful number, since it uses less digits than its factorization.

21744282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167053 (or 167044 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 21744 and 282960, that added together give a square (304704 = 552²).

The spelling of 21744282960 in words is "twenty-one billion, seven hundred forty-four million, two hundred eighty-two thousand, nine hundred sixty".