26697865844160 has 448 divisors, whose sum is σ = 107665429616640. Its totient is φ = 6100871823360.

The previous prime is 26697865844147. The next prime is 26697865844179. The reversal of 26697865844160 is 6144856879662.

It is a happy number.

26697865844160 is a `hidden beast` number, since 2 + 6 + 6 + 9 + 78 + 6 + 58 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×26697865844160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256443637 + ... + 256547723.

It is an arithmetic number, because the mean of its divisors is an integer number (240324619680).

Almost surely, 2^{26697865844160} is an apocalyptic number.

26697865844160 is a gapful number since it is divisible by the number (20) 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 26697865844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53832714808320).

26697865844160 is an abundant number, since it is smaller than the sum of its proper divisors (80967563772480).

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

26697865844160 is a wasteful number, since it uses less digits than its factorization.

26697865844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108361 (or 108345 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 26697865844160 in words is "twenty-six trillion, six hundred ninety-seven billion, eight hundred sixty-five million, eight hundred forty-four thousand, one hundred sixty".