26278086376080 has 1920 divisors, whose sum is σ = 117848228659200. Its totient is φ = 5086590566400.

The previous prime is 26278086376027. The next prime is 26278086376081. The reversal of 26278086376080 is 8067368087262.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26278086375999 and 26278086376017.

It is not an unprimeable number, because it can be changed into a prime (26278086376081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23275540956 + ... + 23275542084.

It is an arithmetic number, because the mean of its divisors is an integer number (61379285760).

Almost surely, 2^{26278086376080} is an apocalyptic number.

26278086376080 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 26278086376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924114329600).

26278086376080 is an abundant number, since it is smaller than the sum of its proper divisors (91570142283120).

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

26278086376080 is a wasteful number, since it uses less digits than its factorization.

26278086376080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 26278086376080 in words is "twenty-six trillion, two hundred seventy-eight billion, eighty-six million, three hundred seventy-six thousand, eighty".