21834430000 has 100 divisors (see below), whose sum is σ = 53095885128. Its totient is φ = 8695360000.

The previous prime is 21834429979. The next prime is 21834430001. The reversal of 21834430000 is 3443812.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21834430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2325315 + ... + 2334685.

Almost surely, 2^21834430000 is an apocalyptic number.

21834430000 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 21834430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547942564).

21834430000 is an abundant number, since it is smaller than the sum of its proper divisors (31261455128).

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

21834430000 is an equidigital number, since it uses as much as digits as its factorization.

21834430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21834430000 its reverse (3443812), we get a palindrome (21837873812).

The spelling of 21834430000 in words is "twenty-one billion, eight hundred thirty-four million, four hundred thirty thousand".