26117010240 has 448 divisors, whose sum is σ = 91710662400. Its totient is φ = 6267469824.

The previous prime is 26117010239. The next prime is 26117010247. The reversal of 26117010240 is 4201071162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26117010240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26117010247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65785722 + ... + 65786118.

It is an arithmetic number, because the mean of its divisors is an integer number (204711300).

Almost surely, 2^26117010240 is an apocalyptic number.

26117010240 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 26117010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45855331200).

26117010240 is an abundant number, since it is smaller than the sum of its proper divisors (65593652160).

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

26117010240 is a wasteful number, since it uses less digits than its factorization.

26117010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 26117010240 in words is "twenty-six billion, one hundred seventeen million, ten thousand, two hundred forty".