26102811168 has 216 divisors, whose sum is σ = 89548450992. Its totient is φ = 7457837184.

The previous prime is 26102811121. The next prime is 26102811187. The reversal of 26102811168 is 86111820162.

26102811168 is a `hidden beast` number, since 2 + 610 + 28 + 1 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 346771 + ... + 415277.

It is an arithmetic number, because the mean of its divisors is an integer number (414576162).

Almost surely, 2^26102811168 is an apocalyptic number.

26102811168 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 26102811168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774225496).

26102811168 is an abundant number, since it is smaller than the sum of its proper divisors (63445639824).

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

26102811168 is an equidigital number, since it uses as much as digits as its factorization.

26102811168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68546 (or 68519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 26102811168 in words is "twenty-six billion, one hundred two million, eight hundred eleven thousand, one hundred sixty-eight".