21241920000 has 800 divisors, whose sum is σ = 84370492800. Its totient is φ = 4644864000.

The previous prime is 21241919983. The next prime is 21241920059. The reversal of 21241920000 is 2914212.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194879946 + ... + 194880054.

It is an arithmetic number, because the mean of its divisors is an integer number (105463116).

Almost surely, 2^21241920000 is an apocalyptic number.

21241920000 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 21241920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42185246400).

21241920000 is an abundant number, since it is smaller than the sum of its proper divisors (63128572800).

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

21241920000 is an equidigital number, since it uses as much as digits as its factorization.

21241920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 21241920000 in words is "twenty-one billion, two hundred forty-one million, nine hundred twenty thousand".