26286532608 has 384 divisors, whose sum is σ = 85715884800. Its totient is φ = 6992953344.

The previous prime is 26286532607. The next prime is 26286532621. The reversal of 26286532608 is 80623568262.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26286532607) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114788238 + ... + 114788466.

It is an arithmetic number, because the mean of its divisors is an integer number (223218450).

Almost surely, 2^26286532608 is an apocalyptic number.

26286532608 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 26286532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42857942400).

26286532608 is an abundant number, since it is smaller than the sum of its proper divisors (59429352192).

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

26286532608 is a wasteful number, since it uses less digits than its factorization.

26286532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 26286532608 in words is "twenty-six billion, two hundred eighty-six million, five hundred thirty-two thousand, six hundred eight".