21128110080 has 1008 divisors, whose sum is σ = 89423656560. Its totient is φ = 4238868480.

The previous prime is 21128110057. The next prime is 21128110093. The reversal of 21128110080 is 8001182112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21128110080.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 728555506 + ... + 728555534.

It is an arithmetic number, because the mean of its divisors is an integer number (88713945).

Almost surely, 2^21128110080 is an apocalyptic number.

21128110080 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 21128110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44711828280).

21128110080 is an abundant number, since it is smaller than the sum of its proper divisors (68295546480).

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

21128110080 is a wasteful number, since it uses less digits than its factorization.

21128110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 21128110080 its reverse (8001182112), we get a palindrome (29129292192).

The spelling of 21128110080 in words is "twenty-one billion, one hundred twenty-eight million, one hundred ten thousand, eighty".