26853816960 has 384 divisors, whose sum is σ = 97381440000. Its totient is φ = 6809886720.

The previous prime is 26853816959. The next prime is 26853816973. The reversal of 26853816960 is 6961835862.

It is a happy number.

26853816960 is a `hidden beast` number, since 2 + 6 + 8 + 538 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26853816960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26853816897 and 26853816906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10533766 + ... + 10536314.

It is an arithmetic number, because the mean of its divisors is an integer number (253597500).

Almost surely, 2^26853816960 is an apocalyptic number.

26853816960 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 26853816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690720000).

26853816960 is an abundant number, since it is smaller than the sum of its proper divisors (70527623040).

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

26853816960 is a wasteful number, since it uses less digits than its factorization.

26853816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 26853816960 in words is "twenty-six billion, eight hundred fifty-three million, eight hundred sixteen thousand, nine hundred sixty".