21648669120 has 560 divisors, whose sum is σ = 85008768768. Its totient is φ = 5195612160.

The previous prime is 21648669071. The next prime is 21648669139. The reversal of 21648669120 is 2196684612.

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 79 ways as a sum of consecutive naturals, for example, 13814577 + ... + 13816143.

Almost surely, 2^21648669120 is an apocalyptic number.

21648669120 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 21648669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42504384384).

21648669120 is an abundant number, since it is smaller than the sum of its proper divisors (63360099648).

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

21648669120 is a wasteful number, since it uses less digits than its factorization.

21648669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21648669120 in words is "twenty-one billion, six hundred forty-eight million, six hundred sixty-nine thousand, one hundred twenty".