26802668160 has 192 divisors, whose sum is σ = 94300319880. Its totient is φ = 7012442112.

The previous prime is 26802668153. The next prime is 26802668209. The reversal of 26802668160 is 6186620862.

It can be written as a sum of positive squares in 4 ways, for example, as 24764687424 + 2037980736 = 157368^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 261382 + ... + 349178.

Almost surely, 2^26802668160 is an apocalyptic number.

26802668160 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 26802668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47150159940).

26802668160 is an abundant number, since it is smaller than the sum of its proper divisors (67497651720).

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

26802668160 is a wasteful number, since it uses less digits than its factorization.

26802668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87875 (or 87860 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26802668160 in words is "twenty-six billion, eight hundred two million, six hundred sixty-eight thousand, one hundred sixty".