26256806119800 has 1152 divisors, whose sum is σ = 98373989376000. Its totient is φ = 6249948595200.

The previous prime is 26256806119787. The next prime is 26256806119813. The reversal of 26256806119800 is 891160865262.

26256806119800 is a `hidden beast` number, since 2 + 6 + 2 + 568 + 0 + 61 + 19 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26256806119787) and next prime (26256806119813).

It is a super-2 number, since 2×26256806119800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6693040639 + ... + 6693044561.

It is an arithmetic number, because the mean of its divisors is an integer number (85394088000).

Almost surely, 2^{26256806119800} is an apocalyptic number.

26256806119800 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 26256806119800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49186994688000).

26256806119800 is an abundant number, since it is smaller than the sum of its proper divisors (72117183256200).

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

26256806119800 is a wasteful number, since it uses less digits than its factorization.

26256806119800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 26256806119800 in words is "twenty-six trillion, two hundred fifty-six billion, eight hundred six million, one hundred nineteen thousand, eight hundred".