26679433855536 has 240 divisors, whose sum is σ = 93278890268928. Its totient is φ = 6915608179200.

The previous prime is 26679433855517. The next prime is 26679433855553. The reversal of 26679433855536 is 63555833497662.

26679433855536 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 9 + 4 + 3 + 3 + 85 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2993950 + ... + 7894466.

Almost surely, 2^{26679433855536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26679433855536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639445134464).

26679433855536 is an abundant number, since it is smaller than the sum of its proper divisors (66599456413392).

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

26679433855536 is a wasteful number, since it uses less digits than its factorization.

26679433855536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901040 (or 4901031 counting only the distinct ones).

The product of its digits is 2939328000, while the sum is 72.

The spelling of 26679433855536 in words is "twenty-six trillion, six hundred seventy-nine billion, four hundred thirty-three million, eight hundred fifty-five thousand, five hundred thirty-six".