11071696896 has 520 divisors, whose sum is σ = 37963515744. Its totient is φ = 3185049600.

The previous prime is 11071696877. The next prime is 11071696901. The reversal of 11071696896 is 69869617011.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 73322421 + ... + 73322571.

Almost surely, 2^11071696896 is an apocalyptic number.

11071696896 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 11071696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981757872).

11071696896 is an abundant number, since it is smaller than the sum of its proper divisors (26891818848).

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

11071696896 is a wasteful number, since it uses less digits than its factorization.

11071696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11071696896 in words is "eleven billion, seventy-one million, six hundred ninety-six thousand, eight hundred ninety-six".