26007045288 has 128 divisors (see below), whose sum is σ = 75644928000. Its totient is φ = 7297804800.

The previous prime is 26007045287. The next prime is 26007045299. The reversal of 26007045288 is 88254070062.

It is a happy number.

It is a Cunningham number, because it is equal to 161267²-1.

It is a super-2 number, since 2×26007045288² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26007045287) 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 31 ways as a sum of consecutive naturals, for example, 2251993 + ... + 2263511.

It is an arithmetic number, because the mean of its divisors is an integer number (590976000).

Almost surely, 2^26007045288 is an apocalyptic number.

26007045288 is a gapful number since it is divisible by the number (28) 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 26007045288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37822464000).

26007045288 is an abundant number, since it is smaller than the sum of its proper divisors (49637882712).

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

26007045288 is a wasteful number, since it uses less digits than its factorization.

26007045288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 26007045288 in words is "twenty-six billion, seven million, forty-five thousand, two hundred eighty-eight".