26686563718464 has 1344 divisors, whose sum is σ = 94457373696000. Its totient is φ = 7349674475520.

The previous prime is 26686563718411. The next prime is 26686563718487. The reversal of 26686563718464 is 46481736568662.

26686563718464 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 6 + 563 + 7 + 18 + 46 + 4 = 666.

It is a super-2 number, since 2×26686563718464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26686563718392 and 26686563718401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9080149507 + ... + 9080152445.

It is an arithmetic number, because the mean of its divisors is an integer number (70280784000).

Almost surely, 2^{26686563718464} is an apocalyptic number.

26686563718464 is a gapful number since it is divisible by the number (24) 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 26686563718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228686848000).

26686563718464 is an abundant number, since it is smaller than the sum of its proper divisors (67770809977536).

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

26686563718464 is a wasteful number, since it uses less digits than its factorization.

26686563718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3064 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 26686563718464 in words is "twenty-six trillion, six hundred eighty-six billion, five hundred sixty-three million, seven hundred eighteen thousand, four hundred sixty-four".