21045252000 has 384 divisors, whose sum is σ = 74078903808. Its totient is φ = 5203968000.

The previous prime is 21045251959. The next prime is 21045252001. The reversal of 21045252000 is 25254012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21045252001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14483274 + ... + 14484726.

It is an arithmetic number, because the mean of its divisors is an integer number (192913812).

Almost surely, 2^21045252000 is an apocalyptic number.

21045252000 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 21045252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37039451904).

21045252000 is an abundant number, since it is smaller than the sum of its proper divisors (53033651808).

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

21045252000 is a wasteful number, since it uses less digits than its factorization.

21045252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 21045252000 in words is "twenty-one billion, forty-five million, two hundred fifty-two thousand".