26536883840 has 128 divisors (see below), whose sum is σ = 66213320400. Its totient is φ = 10157228032.

The previous prime is 26536883773. The next prime is 26536883851. The reversal of 26536883840 is 4838863562.

It can be written as a sum of positive squares in 8 ways, for example, as 40857664 + 26496026176 = 6392^2 + 162776^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090954 + ... + 2103606.

Almost surely, 2^26536883840 is an apocalyptic number.

26536883840 is a gapful number since it is divisible by the number (20) 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 26536883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33106660200).

26536883840 is an abundant number, since it is smaller than the sum of its proper divisors (39676436560).

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

26536883840 is a wasteful number, since it uses less digits than its factorization.

26536883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12814 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 26536883840 in words is "twenty-six billion, five hundred thirty-six million, eight hundred eighty-three thousand, eight hundred forty".