26128191304800 has 3456 divisors, whose sum is σ = 111442387230720. Its totient is φ = 5705927884800.

The previous prime is 26128191304799. The next prime is 26128191304841. The reversal of 26128191304800 is 840319182162.

26128191304800 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 81 + 91 + 3 + 0 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 293575183156 + ... + 293575183244.

It is an arithmetic number, because the mean of its divisors is an integer number (32246061120).

Almost surely, 2^{26128191304800} is an apocalyptic number.

26128191304800 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 26128191304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55721193615360).

26128191304800 is an abundant number, since it is smaller than the sum of its proper divisors (85314195925920).

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

26128191304800 is a wasteful number, since it uses less digits than its factorization.

26128191304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 26128191304800 in words is "twenty-six trillion, one hundred twenty-eight billion, one hundred ninety-one million, three hundred four thousand, eight hundred".