10855985408064 has 1792 divisors, whose sum is σ = 37827191808000. Its totient is φ = 3032910397440.

The previous prime is 10855985408063. The next prime is 10855985408123. The reversal of 10855985408064 is 46080458955801.

10855985408064 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 5 + 9 + 8 + 540 + 80 + 6 + 4 = 666.

10855985408064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10855985407992 and 10855985408010.

It is not an unprimeable number, because it can be changed into a prime (10855985408063) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96070667272 + ... + 96070667384.

It is an arithmetic number, because the mean of its divisors is an integer number (21108924000).

Almost surely, 2^{10855985408064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10855985408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913595904000).

10855985408064 is an abundant number, since it is smaller than the sum of its proper divisors (26971206399936).

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

10855985408064 is a wasteful number, since it uses less digits than its factorization.

10855985408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 10855985408064 in words is "ten trillion, eight hundred fifty-five billion, nine hundred eighty-five million, four hundred eight thousand, sixty-four".