26083245060864 has 216 divisors, whose sum is σ = 79652575718352. Its totient is φ = 8180475494400.

The previous prime is 26083245060857. The next prime is 26083245060889. The reversal of 26083245060864 is 46806054238062.

It is a happy number.

26083245060864 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 3 + 24 + 5 + 0 + 608 + 6 + 4 = 666.

It is a super-3 number, since 3×26083245060864³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26083245060864.

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 23 ways as a sum of consecutive naturals, for example, 130055064 + ... + 130255464.

It is an arithmetic number, because the mean of its divisors is an integer number (368761924622).

Almost surely, 2^{26083245060864} is an apocalyptic number.

26083245060864 is a gapful number since it is divisible by the number (24) 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 26083245060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39826287859176).

26083245060864 is an abundant number, since it is smaller than the sum of its proper divisors (53569330657488).

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

26083245060864 is a wasteful number, since it uses less digits than its factorization.

26083245060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203763 (or 203746 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 26083245060864 in words is "twenty-six trillion, eighty-three billion, two hundred forty-five million, sixty thousand, eight hundred sixty-four".