26405510640 has 160 divisors (see below), whose sum is σ = 85494528000. Its totient is φ = 6729136128.

The previous prime is 26405510639. The next prime is 26405510641. The reversal of 26405510640 is 4601550462.

It is an interprime number because it is at equal distance from previous prime (26405510639) and next prime (26405510641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26405510641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11033284 + ... + 11035676.

It is an arithmetic number, because the mean of its divisors is an integer number (534340800).

Almost surely, 2^26405510640 is an apocalyptic number.

26405510640 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 26405510640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264000).

26405510640 is an abundant number, since it is smaller than the sum of its proper divisors (59089017360).

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

26405510640 is a wasteful number, since it uses less digits than its factorization.

26405510640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 26405510640 in words is "twenty-six billion, four hundred five million, five hundred ten thousand, six hundred forty".