26008862880000 has 6480 divisors, whose sum is σ = 128765657549760. Its totient is φ = 4598415360000.

The previous prime is 26008862879969. The next prime is 26008862880001. The reversal of 26008862880000 is 8826880062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26008862880001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 702942239982 + ... + 702942240018.

Almost surely, 2^{26008862880000} is an apocalyptic number.

26008862880000 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 26008862880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64382828774880).

26008862880000 is an abundant number, since it is smaller than the sum of its proper divisors (102756794669760).

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

26008862880000 is a wasteful number, since it uses less digits than its factorization.

26008862880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

It can be divided in two parts, 26008862 and 880000, that added together give a palindrome (26888862).

The spelling of 26008862880000 in words is "twenty-six trillion, eight billion, eight hundred sixty-two million, eight hundred eighty thousand".