26896884040 has 96 divisors (see below), whose sum is σ = 67791508200. Its totient is φ = 9588633600.

The previous prime is 26896884037. The next prime is 26896884041. The reversal of 26896884040 is 4048869862.

It can be written as a sum of positive squares in 12 ways, for example, as 2556515844 + 24340368196 = 50562^2 + 156014^2 .

It is a super-2 number, since 2×26896884040² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26896884041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127440 + ... + 264640.

Almost surely, 2^26896884040 is an apocalyptic number.

26896884040 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 26896884040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33895754100).

26896884040 is an abundant number, since it is smaller than the sum of its proper divisors (40894624160).

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

26896884040 is a wasteful number, since it uses less digits than its factorization.

26896884040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137267 (or 137250 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 26896884040 in words is "twenty-six billion, eight hundred ninety-six million, eight hundred eighty-four thousand, forty".