26050268160 has 264 divisors, whose sum is σ = 103159563936. Its totient is φ = 5954273280.

The previous prime is 26050268149. The next prime is 26050268183. The reversal of 26050268160 is 6186205062.

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 23 ways as a sum of consecutive naturals, for example, 282180 + ... + 362940.

It is an arithmetic number, because the mean of its divisors is an integer number (390755924).

Almost surely, 2^26050268160 is an apocalyptic number.

26050268160 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 26050268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51579781968).

26050268160 is an abundant number, since it is smaller than the sum of its proper divisors (77109295776).

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

26050268160 is a wasteful number, since it uses less digits than its factorization.

26050268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80799 (or 80778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 26050268160 in words is "twenty-six billion, fifty million, two hundred sixty-eight thousand, one hundred sixty".