26109901897344 has 384 divisors, whose sum is σ = 78405864451200. Its totient is φ = 8329699123200.

The previous prime is 26109901897327. The next prime is 26109901897363. The reversal of 26109901897344 is 44379810990162.

26109901897344 is a `hidden beast` number, since 2 + 6 + 109 + 9 + 0 + 189 + 7 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26109901897344² (a number of 28 digits) contains 22 as substring.

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, 4643408517 + ... + 4643414139.

It is an arithmetic number, because the mean of its divisors is an integer number (204181938675).

Almost surely, 2^{26109901897344} is an apocalyptic number.

26109901897344 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 26109901897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39202932225600).

26109901897344 is an abundant number, since it is smaller than the sum of its proper divisors (52295962553856).

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

26109901897344 is a wasteful number, since it uses less digits than its factorization.

26109901897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 26109901897344 in words is "twenty-six trillion, one hundred nine billion, nine hundred one million, eight hundred ninety-seven thousand, three hundred forty-four".