26849108270880 has 720 divisors, whose sum is σ = 110260068783480. Its totient is φ = 6134996754432.

The previous prime is 26849108270863. The next prime is 26849108270899. The reversal of 26849108270880 is 8807280194862.

26849108270880 is a `hidden beast` number, since 2 + 68 + 491 + 0 + 8 + 2 + 7 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19330478462736 + 7518629808144 = 4396644^2 + 2742012^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×26849108270880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3246955386 + ... + 3246963654.

Almost surely, 2^{26849108270880} is an apocalyptic number.

26849108270880 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 26849108270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55130034391740).

26849108270880 is an abundant number, since it is smaller than the sum of its proper divisors (83410960512600).

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

26849108270880 is a wasteful number, since it uses less digits than its factorization.

26849108270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 26849108270880 in words is "twenty-six trillion, eight hundred forty-nine billion, one hundred eight million, two hundred seventy thousand, eight hundred eighty".