26112807168 has 432 divisors, whose sum is σ = 86681952000. Its totient is φ = 6937104384.

The previous prime is 26112807139. The next prime is 26112807179. The reversal of 26112807168 is 86170821162.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 42185163 + ... + 42185781.

Almost surely, 2^26112807168 is an apocalyptic number.

26112807168 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 26112807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43340976000).

26112807168 is an abundant number, since it is smaller than the sum of its proper divisors (60569144832).

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

26112807168 is a wasteful number, since it uses less digits than its factorization.

26112807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 26112807168 in words is "twenty-six billion, one hundred twelve million, eight hundred seven thousand, one hundred sixty-eight".