26256432000 has 512 divisors, whose sum is σ = 96235776000. Its totient is φ = 6298828800.

The previous prime is 26256431969. The next prime is 26256432001. The reversal of 26256432000 is 23465262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26256432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18767301 + ... + 18768699.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 2^26256432000 is an apocalyptic number.

26256432000 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 26256432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888000).

26256432000 is an abundant number, since it is smaller than the sum of its proper divisors (69979344000).

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

26256432000 is a wasteful number, since it uses less digits than its factorization.

26256432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 26256432000 its reverse (23465262), we get a palindrome (26279897262).

The spelling of 26256432000 in words is "twenty-six billion, two hundred fifty-six million, four hundred thirty-two thousand".