21085533000 has 576 divisors, whose sum is σ = 83749302000. Its totient is φ = 4770662400.

The previous prime is 21085532921. The next prime is 21085533023. The reversal of 21085533000 is 33558012.

21085533000 is a `hidden beast` number, since 2 + 108 + 553 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2418869124 + 18666663876 = 49182^2 + 136626^2 .

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 143 ways as a sum of consecutive naturals, for example, 60416826 + ... + 60417174.

Almost surely, 2^21085533000 is an apocalyptic number.

21085533000 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 21085533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41874651000).

21085533000 is an abundant number, since it is smaller than the sum of its proper divisors (62663769000).

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

21085533000 is a wasteful number, since it uses less digits than its factorization.

21085533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 21085533000 in words is "twenty-one billion, eighty-five million, five hundred thirty-three thousand".