26420224000 has 112 divisors (see below), whose sum is σ = 65943409896. Its totient is φ = 10567680000.

The previous prime is 26420223979. The next prime is 26420224007. The reversal of 26420224000 is 42202462.

It can be written as a sum of positive squares in 4 ways, for example, as 7993790464 + 18426433536 = 89408^2 + 135744^2 .

It is not an unprimeable number, because it can be changed into a prime (26420224007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011100 + ... + 1036900.

Almost surely, 2^26420224000 is an apocalyptic number.

26420224000 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 26420224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32971704948).

26420224000 is an abundant number, since it is smaller than the sum of its proper divisors (39523185896).

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

26420224000 is an frugal number, since it uses more digits than its factorization.

26420224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25842 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 26420224000 its reverse (42202462), we get a palindrome (26462426462).

The spelling of 26420224000 in words is "twenty-six billion, four hundred twenty million, two hundred twenty-four thousand".