26888526720 has 640 divisors, whose sum is σ = 106608221280. Its totient is φ = 6403276800.

The previous prime is 26888526713. The next prime is 26888526727. The reversal of 26888526720 is 2762588862.

It is an interprime number because it is at equal distance from previous prime (26888526713) and next prime (26888526727).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26888526727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34784254 + ... + 34785026.

Almost surely, 2^26888526720 is an apocalyptic number.

26888526720 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 26888526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53304110640).

26888526720 is an abundant number, since it is smaller than the sum of its proper divisors (79719694560).

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

26888526720 is a wasteful number, since it uses less digits than its factorization.

26888526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 26888526720 in words is "twenty-six billion, eight hundred eighty-eight million, five hundred twenty-six thousand, seven hundred twenty".