26583306240 has 208 divisors, whose sum is σ = 86235896448. Its totient is φ = 6990594048.

The previous prime is 26583306221. The next prime is 26583306241. The reversal of 26583306240 is 4260338562.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26583306241) 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 15 ways as a sum of consecutive naturals, for example, 4482157 + ... + 4488083.

It is an arithmetic number, because the mean of its divisors is an integer number (414595656).

Almost surely, 2^26583306240 is an apocalyptic number.

26583306240 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 26583306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43117948224).

26583306240 is an abundant number, since it is smaller than the sum of its proper divisors (59652590208).

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

26583306240 is an equidigital number, since it uses as much as digits as its factorization.

26583306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 26583306240 in words is "twenty-six billion, five hundred eighty-three million, three hundred six thousand, two hundred forty".