26086634028 has 288 divisors, whose sum is σ = 86227255296. Its totient is φ = 6453098496.

The previous prime is 26086633997. The next prime is 26086634029. The reversal of 26086634028 is 82043668062.

26086634028 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 6 + 634 + 0 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (26086634029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21329425 + ... + 21330647.

It is an arithmetic number, because the mean of its divisors is an integer number (299400192).

Almost surely, 2^26086634028 is an apocalyptic number.

26086634028 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 26086634028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43113627648).

26086634028 is an abundant number, since it is smaller than the sum of its proper divisors (60140621268).

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

26086634028 is a wasteful number, since it uses less digits than its factorization.

26086634028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 26086634028 in words is "twenty-six billion, eighty-six million, six hundred thirty-four thousand, twenty-eight".