21088442880 has 640 divisors, whose sum is σ = 80503061760. Its totient is φ = 5214044160.

The previous prime is 21088442849. The next prime is 21088442891. The reversal of 21088442880 is 8824488012.

21088442880 is a `hidden beast` number, since 210 + 8 + 8 + 4 + 428 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153930172 + ... + 153930308.

It is an arithmetic number, because the mean of its divisors is an integer number (125786034).

Almost surely, 2^21088442880 is an apocalyptic number.

21088442880 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 21088442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40251530880).

21088442880 is an abundant number, since it is smaller than the sum of its proper divisors (59414618880).

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

21088442880 is a wasteful number, since it uses less digits than its factorization.

21088442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 21088442880 in words is "twenty-one billion, eighty-eight million, four hundred forty-two thousand, eight hundred eighty".