21188650160 has 80 divisors (see below), whose sum is σ = 49836988800. Its totient is φ = 8377356288.

The previous prime is 21188650141. The next prime is 21188650199. The reversal of 21188650160 is 6105688112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2615396 + ... + 2623484.

It is an arithmetic number, because the mean of its divisors is an integer number (622962360).

Almost surely, 2^21188650160 is an apocalyptic number.

21188650160 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 21188650160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918494400).

21188650160 is an abundant number, since it is smaller than the sum of its proper divisors (28648338640).

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

21188650160 is a wasteful number, since it uses less digits than its factorization.

21188650160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 21188650160 in words is "twenty-one billion, one hundred eighty-eight million, six hundred fifty thousand, one hundred sixty".