26755978752000 has 3328 divisors, whose sum is σ = 112266134323200. Its totient is φ = 6253844889600.

The previous prime is 26755978751959. The next prime is 26755978752011. The reversal of 26755978752000 is 25787955762.

26755978752000 is a `hidden beast` number, since 2 + 6 + 7 + 559 + 7 + 8 + 75 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 259766783949 + ... + 259766784051.

It is an arithmetic number, because the mean of its divisors is an integer number (33733814400).

Almost surely, 2^{26755978752000} is an apocalyptic number.

26755978752000 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 26755978752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56133067161600).

26755978752000 is an abundant number, since it is smaller than the sum of its proper divisors (85510155571200).

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

26755978752000 is a wasteful number, since it uses less digits than its factorization.

26755978752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 26755978752000 in words is "twenty-six trillion, seven hundred fifty-five billion, nine hundred seventy-eight million, seven hundred fifty-two thousand".