21849583680 has 672 divisors, whose sum is σ = 83254778880. Its totient is φ = 5388042240.

The previous prime is 21849583661. The next prime is 21849583681. The reversal of 21849583680 is 8638594812.

21849583680 is a `hidden beast` number, since 2 + 18 + 49 + 583 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21849583681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225253392 + ... + 225253488.

It is an arithmetic number, because the mean of its divisors is an integer number (123891040).

Almost surely, 2^21849583680 is an apocalyptic number.

21849583680 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 21849583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41627389440).

21849583680 is an abundant number, since it is smaller than the sum of its proper divisors (61405195200).

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

21849583680 is a wasteful number, since it uses less digits than its factorization.

21849583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21849583680 in words is "twenty-one billion, eight hundred forty-nine million, five hundred eighty-three thousand, six hundred eighty".