26865062861868 has 864 divisors, whose sum is σ = 94770798280704. Its totient is φ = 6251198976000.

The previous prime is 26865062861839. The next prime is 26865062861881. The reversal of 26865062861868 is 86816826056862.

26865062861868 is a `hidden beast` number, since 2 + 6 + 86 + 506 + 28 + 6 + 18 + 6 + 8 = 666.

26865062861868 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×26865062861868³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26865062861796 and 26865062861805.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 980212621 + ... + 980240027.

It is an arithmetic number, because the mean of its divisors is an integer number (109688423936).

Almost surely, 2^{26865062861868} is an apocalyptic number.

26865062861868 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 26865062861868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47385399140352).

26865062861868 is an abundant number, since it is smaller than the sum of its proper divisors (67905735418836).

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

26865062861868 is a wasteful number, since it uses less digits than its factorization.

26865062861868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27555 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 26865062861868 in words is "twenty-six trillion, eight hundred sixty-five billion, sixty-two million, eight hundred sixty-one thousand, eight hundred sixty-eight".