11039685216 has 384 divisors, whose sum is σ = 37248906240. Its totient is φ = 2786918400.

The previous prime is 11039685211. The next prime is 11039685247. The reversal of 11039685216 is 61258693011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11039685211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39286996 + ... + 39287276.

It is an arithmetic number, because the mean of its divisors is an integer number (97002360).

Almost surely, 2^11039685216 is an apocalyptic number.

11039685216 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 11039685216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624453120).

11039685216 is an abundant number, since it is smaller than the sum of its proper divisors (26209221024).

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

11039685216 is a wasteful number, since it uses less digits than its factorization.

11039685216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11039685216 in words is "eleven billion, thirty-nine million, six hundred eighty-five thousand, two hundred sixteen".