26868145248 has 144 divisors (see below), whose sum is σ = 87408266400. Its totient is φ = 7668983808.

The previous prime is 26868145151. The next prime is 26868145259. The reversal of 26868145248 is 84254186862.

26868145248 is a `hidden beast` number, since 26 + 86 + 8 + 14 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 26868145194 and 26868145203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205478 + ... + 2217626.

It is an arithmetic number, because the mean of its divisors is an integer number (607001850).

Almost surely, 2^26868145248 is an apocalyptic number.

26868145248 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 26868145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43704133200).

26868145248 is an abundant number, since it is smaller than the sum of its proper divisors (60540121152).

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

26868145248 is a wasteful number, since it uses less digits than its factorization.

26868145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13269 (or 13258 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 26868145248 in words is "twenty-six billion, eight hundred sixty-eight million, one hundred forty-five thousand, two hundred forty-eight".