26096007168 has 672 divisors, whose sum is σ = 97967076480. Its totient is φ = 6748323840.

The previous prime is 26096007143. The next prime is 26096007211. The reversal of 26096007168 is 86170069062.

26096007168 is a `hidden beast` number, since 26 + 0 + 9 + 600 + 7 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×26096007168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114960271 + ... + 114960497.

It is an arithmetic number, because the mean of its divisors is an integer number (145784340).

Almost surely, 2^26096007168 is an apocalyptic number.

26096007168 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 26096007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48983538240).

26096007168 is an abundant number, since it is smaller than the sum of its proper divisors (71871069312).

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

26096007168 is an equidigital number, since it uses as much as digits as its factorization.

26096007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26096007168 in words is "twenty-six billion, ninety-six million, seven thousand, one hundred sixty-eight".