26856910886400 has 1920 divisors, whose sum is σ = 118916138880000. Its totient is φ = 5799656816640.

The previous prime is 26856910886359. The next prime is 26856910886459. The reversal of 26856910886400 is 468801965862.

26856910886400 is a `hidden beast` number, since 2 + 6 + 8 + 569 + 1 + 0 + 8 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25602393076 + ... + 25602394124.

It is an arithmetic number, because the mean of its divisors is an integer number (61935489000).

Almost surely, 2^{26856910886400} is an apocalyptic number.

26856910886400 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 26856910886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59458069440000).

26856910886400 is an abundant number, since it is smaller than the sum of its proper divisors (92059227993600).

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

26856910886400 is a wasteful number, since it uses less digits than its factorization.

26856910886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 26856910886400 in words is "twenty-six trillion, eight hundred fifty-six billion, nine hundred ten million, eight hundred eighty-six thousand, four hundred".