21303857952 has 480 divisors, whose sum is σ = 70077934080. Its totient is φ = 6307891200.

The previous prime is 21303857947. The next prime is 21303857963. The reversal of 21303857952 is 25975830312.

21303857952 is a `hidden beast` number, since 21 + 3 + 0 + 3 + 8 + 579 + 52 = 666.

It is a super-3 number, since 3×21303857952³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21303857898 and 21303857907.

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 79 ways as a sum of consecutive naturals, for example, 141085077 + ... + 141085227.

It is an arithmetic number, because the mean of its divisors is an integer number (145995696).

Almost surely, 2^21303857952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303857952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35038967040).

21303857952 is an abundant number, since it is smaller than the sum of its proper divisors (48774076128).

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

21303857952 is a wasteful number, since it uses less digits than its factorization.

21303857952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21303857952 in words is "twenty-one billion, three hundred three million, eight hundred fifty-seven thousand, nine hundred fifty-two".