21510821160 has 256 divisors, whose sum is σ = 72891705600. Its totient is φ = 5641767936.

The previous prime is 21510821149. The next prime is 21510821173. The reversal of 21510821160 is 6112801512.

21510821160 is a `hidden beast` number, since 2 + 1 + 510 + 82 + 11 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28415502 + ... + 28416258.

It is an arithmetic number, because the mean of its divisors is an integer number (284733225).

Almost surely, 2^21510821160 is an apocalyptic number.

21510821160 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 21510821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36445852800).

21510821160 is an abundant number, since it is smaller than the sum of its proper divisors (51380884440).

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

21510821160 is a wasteful number, since it uses less digits than its factorization.

21510821160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 21510821160 in words is "twenty-one billion, five hundred ten million, eight hundred twenty-one thousand, one hundred sixty".