26601204168 has 448 divisors, whose sum is σ = 95813953920. Its totient is φ = 6718464000.

The previous prime is 26601204109. The next prime is 26601204173. The reversal of 26601204168 is 86140210662.

26601204168 is a `hidden beast` number, since 2 + 6 + 601 + 2 + 0 + 41 + 6 + 8 = 666.

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 111 ways as a sum of consecutive naturals, for example, 16614568 + ... + 16616168.

Almost surely, 2^26601204168 is an apocalyptic number.

26601204168 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 26601204168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47906976960).

26601204168 is an abundant number, since it is smaller than the sum of its proper divisors (69212749752).

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

26601204168 is a wasteful number, since it uses less digits than its factorization.

26601204168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26601204168 in words is "twenty-six billion, six hundred one million, two hundred four thousand, one hundred sixty-eight".