26484842160000 has 3840 divisors, whose sum is σ = 119254090475520. Its totient is φ = 5723136000000.

The previous prime is 26484842159989. The next prime is 26484842160001. The reversal of 26484842160000 is 6124848462.

26484842160000 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 484 + 2 + 160 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×26484842160000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26484842160001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 262226159950 + ... + 262226160050.

It is an arithmetic number, because the mean of its divisors is an integer number (31055752728).

Almost surely, 2^{26484842160000} is an apocalyptic number.

26484842160000 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 26484842160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627045237760).

26484842160000 is an abundant number, since it is smaller than the sum of its proper divisors (92769248315520).

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

26484842160000 is an equidigital number, since it uses as much as digits as its factorization.

26484842160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 26484842160000 in words is "twenty-six trillion, four hundred eighty-four billion, eight hundred forty-two million, one hundred sixty thousand".