26768173104 has 180 divisors, whose sum is σ = 79320313800. Its totient is φ = 8425741824.

The previous prime is 26768173097. The next prime is 26768173127. The reversal of 26768173104 is 40137186762.

26768173104 is a `hidden beast` number, since 267 + 68 + 17 + 310 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26768173104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21260827 + ... + 21262085.

It is an arithmetic number, because the mean of its divisors is an integer number (440668410).

Almost surely, 2^26768173104 is an apocalyptic number.

26768173104 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 26768173104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39660156900).

26768173104 is an abundant number, since it is smaller than the sum of its proper divisors (52552140696).

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

26768173104 is a wasteful number, since it uses less digits than its factorization.

26768173104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26768173104 in words is "twenty-six billion, seven hundred sixty-eight million, one hundred seventy-three thousand, one hundred four".