11078255833920 has 336 divisors, whose sum is σ = 41631794043840. Its totient is φ = 2681557401600.

The previous prime is 11078255833913. The next prime is 11078255833951. The reversal of 11078255833920 is 2933855287011.

11078255833920 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 8 + 2 + 5 + 583 + 39 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20611800 + ... + 21142440.

It is an arithmetic number, because the mean of its divisors is an integer number (123904148940).

Almost surely, 2^{11078255833920} is an apocalyptic number.

11078255833920 is a gapful number since it is divisible by the number (10) 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 11078255833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815897021920).

11078255833920 is an abundant number, since it is smaller than the sum of its proper divisors (30553538209920).

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

11078255833920 is a wasteful number, since it uses less digits than its factorization.

11078255833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531334 (or 531321 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11078255833920 in words is "eleven trillion, seventy-eight billion, two hundred fifty-five million, eight hundred thirty-three thousand, nine hundred twenty".