21859200000 has 1056 divisors, whose sum is σ = 92109104640. Its totient is φ = 5068800000.

The previous prime is 21859199983. The next prime is 21859200007. The reversal of 21859200000 is 295812.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21859200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 950399989 + ... + 950400011.

Almost surely, 2^21859200000 is an apocalyptic number.

21859200000 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 21859200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46054552320).

21859200000 is an abundant number, since it is smaller than the sum of its proper divisors (70249904640).

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

21859200000 is an equidigital number, since it uses as much as digits as its factorization.

21859200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 21859200000 its reverse (295812), we get a palindrome (21859495812).

The spelling of 21859200000 in words is "twenty-one billion, eight hundred fifty-nine million, two hundred thousand".