26728356456 has 128 divisors (see below), whose sum is σ = 76978512000. Its totient is φ = 8582870016.

The previous prime is 26728356409. The next prime is 26728356463. The reversal of 26728356456 is 65465382762.

26728356456 is a `hidden beast` number, since 2 + 6 + 7 + 28 + 3 + 564 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920720 + ... + 2929856.

It is an arithmetic number, because the mean of its divisors is an integer number (601394625).

Almost surely, 2^26728356456 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 26728356456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38489256000).

26728356456 is an abundant number, since it is smaller than the sum of its proper divisors (50250155544).

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

26728356456 is a wasteful number, since it uses less digits than its factorization.

26728356456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9638 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 26728356456 in words is "twenty-six billion, seven hundred twenty-eight million, three hundred fifty-six thousand, four hundred fifty-six".