21648882240 has 168 divisors, whose sum is σ = 76865488128. Its totient is φ = 5586785280.

The previous prime is 21648882221. The next prime is 21648882251. The reversal of 21648882240 is 4228884612.

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

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, 31962 + ... + 210521.

Almost surely, 2^21648882240 is an apocalyptic number.

21648882240 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 21648882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432744064).

21648882240 is an abundant number, since it is smaller than the sum of its proper divisors (55216605888).

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

21648882240 is a wasteful number, since it uses less digits than its factorization.

21648882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242537 (or 242524 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 21648882240 in words is "twenty-one billion, six hundred forty-eight million, eight hundred eighty-two thousand, two hundred forty".