26846050881600 has 672 divisors, whose sum is σ = 103067623785600. Its totient is φ = 6778664755200.

The previous prime is 26846050881553. The next prime is 26846050881607. The reversal of 26846050881600 is 618805064862.

26846050881600 is a `hidden beast` number, since 2 + 68 + 4 + 60 + 508 + 8 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×26846050881600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26846050881607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1836122290 + ... + 1836136910.

Almost surely, 2^{26846050881600} is an apocalyptic number.

26846050881600 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 26846050881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51533811892800).

26846050881600 is an abundant number, since it is smaller than the sum of its proper divisors (76221572904000).

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

26846050881600 is a wasteful number, since it uses less digits than its factorization.

26846050881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16908 (or 16887 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 26846050881600 in words is "twenty-six trillion, eight hundred forty-six billion, fifty million, eight hundred eighty-one thousand, six hundred".