11538285696 has 288 divisors, whose sum is σ = 40317401280. Its totient is φ = 3102105600.

The previous prime is 11538285643. The next prime is 11538285791. The reversal of 11538285696 is 69658283511.

11538285696 is a `hidden beast` number, since 1 + 1 + 53 + 8 + 28 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2328021 + ... + 2332971.

Almost surely, 2^11538285696 is an apocalyptic number.

11538285696 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 11538285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158700640).

11538285696 is an abundant number, since it is smaller than the sum of its proper divisors (28779115584).

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

11538285696 is a wasteful number, since it uses less digits than its factorization.

11538285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4980 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 11538285696 in words is "eleven billion, five hundred thirty-eight million, two hundred eighty-five thousand, six hundred ninety-six".