26230784000 has 144 divisors (see below), whose sum is σ = 65512681416. Its totient is φ = 10485760000.

The previous prime is 26230783993. The next prime is 26230784003. The reversal of 26230784000 is 48703262.

It can be written as a sum of positive squares in 4 ways, for example, as 17112825856 + 9117958144 = 130816^2 + 95488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26230784003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16383200 + ... + 16384800.

Almost surely, 2^26230784000 is an apocalyptic number.

26230784000 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 26230784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32756340708).

26230784000 is an abundant number, since it is smaller than the sum of its proper divisors (39281897416).

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

26230784000 is an frugal number, since it uses more digits than its factorization.

26230784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 26230784000 in words is "twenty-six billion, two hundred thirty million, seven hundred eighty-four thousand".