21577889089 has 16 divisors (see below), whose sum is σ = 22396626000. Its totient is φ = 20764283904.

The previous prime is 21577889071. The next prime is 21577889129. The reversal of 21577889089 is 98098877512.

It can be written as a sum of positive squares in 8 ways, for example, as 22657600 + 21555231489 = 4760^2 + 146817^2 .

It is a cyclic number.

It is not a de Polignac number, because 21577889089 - 2¹³ = 21577880897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21577889089.

It is not an unprimeable number, because it can be changed into a prime (21577889009) 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 15 ways as a sum of consecutive naturals, for example, 20569437 + ... + 20570485.

It is an arithmetic number, because the mean of its divisors is an integer number (1399789125).

Almost surely, 2^21577889089 is an apocalyptic number.

21577889089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

21577889089 is a deficient number, since it is larger than the sum of its proper divisors (818736911).

21577889089 is a wasteful number, since it uses less digits than its factorization.

21577889089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772.

The product of its (nonzero) digits is 20321280, while the sum is 64.

The spelling of 21577889089 in words is "twenty-one billion, five hundred seventy-seven million, eight hundred eighty-nine thousand, eighty-nine".