26268705275904 has 720 divisors, whose sum is σ = 93799223132160. Its totient is φ = 6898180423680.

The previous prime is 26268705275873. The next prime is 26268705275929. The reversal of 26268705275904 is 40957250786262.

26268705275904 is a `hidden beast` number, since 2 + 6 + 26 + 87 + 0 + 527 + 5 + 9 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207016449 + ... + 3207024639.

Almost surely, 2^{26268705275904} is an apocalyptic number.

26268705275904 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 26268705275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46899611566080).

26268705275904 is an abundant number, since it is smaller than the sum of its proper divisors (67530517856256).

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

26268705275904 is a wasteful number, since it uses less digits than its factorization.

26268705275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 26268705275904 in words is "twenty-six trillion, two hundred sixty-eight billion, seven hundred five million, two hundred seventy-five thousand, nine hundred four".