21118648320 has 1088 divisors, whose sum is σ = 96636026880. Its totient is φ = 4246732800.

The previous prime is 21118648319. The next prime is 21118648379. The reversal of 21118648320 is 2384681112.

21118648320 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 8 + 648 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681246705 + ... + 681246735.

Almost surely, 2^21118648320 is an apocalyptic number.

21118648320 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 21118648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318013440).

21118648320 is an abundant number, since it is smaller than the sum of its proper divisors (75517378560).

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

21118648320 is an equidigital number, since it uses as much as digits as its factorization.

21118648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21118648320 in words is "twenty-one billion, one hundred eighteen million, six hundred forty-eight thousand, three hundred twenty".