26883795456 has 640 divisors, whose sum is σ = 97296629760. Its totient is φ = 7162822656.

The previous prime is 26883795443. The next prime is 26883795481. The reversal of 26883795456 is 65459738862.

It is a happy number.

26883795456 is a `hidden beast` number, since 2 + 6 + 8 + 83 + 7 + 9 + 545 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26883795393 and 26883795402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104606080 + ... + 104606336.

It is an arithmetic number, because the mean of its divisors is an integer number (152025984).

Almost surely, 2^26883795456 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 26883795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648314880).

26883795456 is an abundant number, since it is smaller than the sum of its proper divisors (70412834304).

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

26883795456 is a wasteful number, since it uses less digits than its factorization.

26883795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 26883795456 in words is "twenty-six billion, eight hundred eighty-three million, seven hundred ninety-five thousand, four hundred fifty-six".