11604168000 has 448 divisors, whose sum is σ = 43973130240. Its totient is φ = 2992896000.

The previous prime is 11604167963. The next prime is 11604168001. The reversal of 11604168000 is 86140611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11604168001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695134 + ... + 6696866.

Almost surely, 2^11604168000 is an apocalyptic number.

11604168000 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 11604168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986565120).

11604168000 is an abundant number, since it is smaller than the sum of its proper divisors (32368962240).

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

11604168000 is a wasteful number, since it uses less digits than its factorization.

11604168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 116041 and 68000, that added together give a square (184041 = 429²).

The spelling of 11604168000 in words is "eleven billion, six hundred four million, one hundred sixty-eight thousand".