26875065600000 has 2304 divisors, whose sum is σ = 106872659712000. Its totient is φ = 6657638400000.

The previous prime is 26875065599923. The next prime is 26875065600013. The reversal of 26875065600000 is 656057862.

26875065600000 is a `hidden beast` number, since 2 + 6 + 87 + 5 + 0 + 6 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155347199914 + ... + 155347200086.

It is an arithmetic number, because the mean of its divisors is an integer number (46385703000).

Almost surely, 2^{26875065600000} is an apocalyptic number.

26875065600000 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 26875065600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53436329856000).

26875065600000 is an abundant number, since it is smaller than the sum of its proper divisors (79997594112000).

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

26875065600000 is an equidigital number, since it uses as much as digits as its factorization.

26875065600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26875065600000 in words is "twenty-six trillion, eight hundred seventy-five billion, sixty-five million, six hundred thousand".