26271279468 has 144 divisors (see below), whose sum is σ = 78918088704. Its totient is φ = 7210632960.

The previous prime is 26271279421. The next prime is 26271279473. The reversal of 26271279468 is 86497217262.

26271279468 is a `hidden beast` number, since 2 + 627 + 1 + 2 + 7 + 9 + 4 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057971 + ... + 1082517.

Almost surely, 2^26271279468 is an apocalyptic number.

26271279468 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 26271279468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39459044352).

26271279468 is an abundant number, since it is smaller than the sum of its proper divisors (52646809236).

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

26271279468 is a wasteful number, since it uses less digits than its factorization.

26271279468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24732 (or 24727 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 26271279468 in words is "twenty-six billion, two hundred seventy-one million, two hundred seventy-nine thousand, four hundred sixty-eight".