26871130944 has 224 divisors, whose sum is σ = 90445132800. Its totient is φ = 7663541760.

The previous prime is 26871130939. The next prime is 26871130981. The reversal of 26871130944 is 44903117862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×26871130944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26871130944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7969579 + ... + 7972949.

Almost surely, 2^26871130944 is an apocalyptic number.

26871130944 is a gapful number since it is divisible by the number (24) 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 26871130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45222566400).

26871130944 is an abundant number, since it is smaller than the sum of its proper divisors (63574001856).

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

26871130944 is a wasteful number, since it uses less digits than its factorization.

26871130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26871130944 in words is "twenty-six billion, eight hundred seventy-one million, one hundred thirty thousand, nine hundred forty-four".