11685916000 has 192 divisors, whose sum is σ = 31453531200. Its totient is φ = 4231680000.

The previous prime is 11685915977. The next prime is 11685916091. The reversal of 11685916000 is 61958611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15355620 + ... + 15356380.

It is an arithmetic number, because the mean of its divisors is an integer number (163820475).

Almost surely, 2^11685916000 is an apocalyptic number.

11685916000 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 11685916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726765600).

11685916000 is an abundant number, since it is smaller than the sum of its proper divisors (19767615200).

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

11685916000 is a wasteful number, since it uses less digits than its factorization.

11685916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 11685916000 in words is "eleven billion, six hundred eighty-five million, nine hundred sixteen thousand".