21200831652 has 288 divisors, whose sum is σ = 67339689984. Its totient is φ = 5040921600.

The previous prime is 21200831569. The next prime is 21200831653. The reversal of 21200831652 is 25613800212.

It is not an unprimeable number, because it can be changed into a prime (21200831653) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21392877 + ... + 21393867.

It is an arithmetic number, because the mean of its divisors is an integer number (233818368).

Almost surely, 2^21200831652 is an apocalyptic number.

21200831652 is a gapful number since it is divisible by the number (22) 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 21200831652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669844992).

21200831652 is an abundant number, since it is smaller than the sum of its proper divisors (46138858332).

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

21200831652 is a wasteful number, since it uses less digits than its factorization.

21200831652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 21200831652 in words is "twenty-one billion, two hundred million, eight hundred thirty-one thousand, six hundred fifty-two".