11075311408896 has 1440 divisors, whose sum is σ = 40562085724160. Its totient is φ = 2935753777152.

The previous prime is 11075311408883. The next prime is 11075311408907. The reversal of 11075311408896 is 69880411357011.

11075311408896 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 531 + 14 + 0 + 8 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36075932775 + ... + 36075933081.

Almost surely, 2^{11075311408896} is an apocalyptic number.

11075311408896 is a gapful number since it is divisible by the number (16) 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 11075311408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281042862080).

11075311408896 is an abundant number, since it is smaller than the sum of its proper divisors (29486774315264).

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

11075311408896 is a wasteful number, since it uses less digits than its factorization.

11075311408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11075311408896 in words is "eleven trillion, seventy-five billion, three hundred eleven million, four hundred eight thousand, eight hundred ninety-six".