26805831948 has 288 divisors, whose sum is σ = 84637582848. Its totient is φ = 6979737600.

The previous prime is 26805831859. The next prime is 26805831971. The reversal of 26805831948 is 84913850862.

26805831948 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 583 + 19 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26805831894 and 26805831903.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17507943 + ... + 17509473.

It is an arithmetic number, because the mean of its divisors is an integer number (293880496).

Almost surely, 2^26805831948 is an apocalyptic number.

26805831948 is a gapful number since it is divisible by the number (28) 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 26805831948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318791424).

26805831948 is an abundant number, since it is smaller than the sum of its proper divisors (57831750900).

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

26805831948 is a wasteful number, since it uses less digits than its factorization.

26805831948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 26805831948 in words is "twenty-six billion, eight hundred five million, eight hundred thirty-one thousand, nine hundred forty-eight".