26100112896000 has 3328 divisors, whose sum is σ = 115475140085760. Its totient is φ = 5804752896000.

The previous prime is 26100112895963. The next prime is 26100112896041. The reversal of 26100112896000 is 69821100162.

26100112896000 is a `hidden beast` number, since 2 + 6 + 10 + 0 + 11 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-3 number, since 3×26100112896000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 160123391919 + ... + 160123392081.

It is an arithmetic number, because the mean of its divisors is an integer number (34698058920).

Almost surely, 2^{26100112896000} is an apocalyptic number.

26100112896000 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 26100112896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57737570042880).

26100112896000 is an abundant number, since it is smaller than the sum of its proper divisors (89375027189760).

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

26100112896000 is an equidigital number, since it uses as much as digits as its factorization.

26100112896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 26100112896000 its reverse (69821100162), we get a palindrome (26169933996162).

The spelling of 26100112896000 in words is "twenty-six trillion, one hundred billion, one hundred twelve million, eight hundred ninety-six thousand".