26384871240 has 288 divisors, whose sum is σ = 107425052280. Its totient is φ = 5566869504.

The previous prime is 26384871223. The next prime is 26384871257. The reversal of 26384871240 is 4217848362.

It is a happy number.

26384871240 is a `hidden beast` number, since 2 + 638 + 4 + 8 + 7 + 1 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26384871223) and next prime (26384871257).

It can be written as a sum of positive squares in 4 ways, for example, as 9899852004 + 16485019236 = 99498^2 + 128394^2 .

It is a super-2 number, since 2×26384871240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171792 + ... + 286848.

Almost surely, 2^26384871240 is an apocalyptic number.

26384871240 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 26384871240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53712526140).

26384871240 is an abundant number, since it is smaller than the sum of its proper divisors (81040181040).

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

26384871240 is a wasteful number, since it uses less digits than its factorization.

26384871240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115101 (or 115087 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 26384871240 in words is "twenty-six billion, three hundred eighty-four million, eight hundred seventy-one thousand, two hundred forty".