21345420000 has 240 divisors, whose sum is σ = 71733250512. Its totient is φ = 5552640000.

The previous prime is 21345419993. The next prime is 21345420007. The reversal of 21345420000 is 2454312.

It is an interprime number because it is at equal distance from previous prime (21345419993) and next prime (21345420007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21345420007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2455662 + ... + 2464338.

Almost surely, 2^21345420000 is an apocalyptic number.

21345420000 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 21345420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35866625256).

21345420000 is an abundant number, since it is smaller than the sum of its proper divisors (50387830512).

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

21345420000 is an equidigital number, since it uses as much as digits as its factorization.

21345420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 21345420000 its reverse (2454312), we get a palindrome (21347874312).

The spelling of 21345420000 in words is "twenty-one billion, three hundred forty-five million, four hundred twenty thousand".