11835684000 has 576 divisors, whose sum is σ = 48791538432. Its totient is φ = 2661120000.

The previous prime is 11835683989. The next prime is 11835684059. The reversal of 11835684000 is 48653811.

11835684000 is a `hidden beast` number, since 11 + 83 + 568 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16883650 + ... + 16884350.

It is an arithmetic number, because the mean of its divisors is an integer number (84707532).

Almost surely, 2^11835684000 is an apocalyptic number.

11835684000 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 11835684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395769216).

11835684000 is an abundant number, since it is smaller than the sum of its proper divisors (36955854432).

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

11835684000 is a wasteful number, since it uses less digits than its factorization.

11835684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11835684000 in words is "eleven billion, eight hundred thirty-five million, six hundred eighty-four thousand".