21110000080 has 160 divisors (see below), whose sum is σ = 53605069056. Its totient is φ = 7684841472.

The previous prime is 21110000057. The next prime is 21110000081. The reversal of 21110000080 is 8000001112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21110000080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110000081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30907419 + ... + 30908101.

Almost surely, 2^21110000080 is an apocalyptic number.

21110000080 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 21110000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26802534528).

21110000080 is an abundant number, since it is smaller than the sum of its proper divisors (32495068976).

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

21110000080 is a wasteful number, since it uses less digits than its factorization.

21110000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21110000080 its reverse (8000001112), we get a palindrome (29110001192).

The spelling of 21110000080 in words is "twenty-one billion, one hundred ten million, eighty", and thus it is an aban number.