26113620310848 has 2520 divisors, whose sum is σ = 99572902273152. Its totient is φ = 6740984291328.

The previous prime is 26113620310751. The next prime is 26113620310849. The reversal of 26113620310848 is 84801302631162.

26113620310848 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 3 + 620 + 3 + 10 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×26113620310848² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26113620310849) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 314621931415 + ... + 314621931497.

Almost surely, 2^{26113620310848} is an apocalyptic number.

26113620310848 is a gapful number since it is divisible by the number (28) 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 26113620310848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49786451136576).

26113620310848 is an abundant number, since it is smaller than the sum of its proper divisors (73459281962304).

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

26113620310848 is a wasteful number, since it uses less digits than its factorization.

26113620310848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26113620310848 in words is "twenty-six trillion, one hundred thirteen billion, six hundred twenty million, three hundred ten thousand, eight hundred forty-eight".