21125952000 has 240 divisors, whose sum is σ = 76093792632. Its totient is φ = 5633433600.

The previous prime is 21125951999. The next prime is 21125952007. The reversal of 21125952000 is 25952112.

It can be written as a sum of positive squares in 4 ways, for example, as 12799754496 + 8326197504 = 113136^2 + 91248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (21125952007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557662 + ... + 594338.

Almost surely, 2^21125952000 is an apocalyptic number.

21125952000 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 21125952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38046896316).

21125952000 is an abundant number, since it is smaller than the sum of its proper divisors (54967840632).

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

21125952000 is an equidigital number, since it uses as much as digits as its factorization.

21125952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36716 (or 36687 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 21125952000 in words is "twenty-one billion, one hundred twenty-five million, nine hundred fifty-two thousand".