11904017664000 has 2304 divisors, whose sum is σ = 50861315232000. Its totient is φ = 2444230656000.

The previous prime is 11904017663983. The next prime is 11904017664037. The reversal of 11904017664000 is 46671040911.

It is a self number, because there is not a number n which added to its sum of digits gives 11904017664000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61678847904 + ... + 61678848096.

It is an arithmetic number, because the mean of its divisors is an integer number (22075223625).

Almost surely, 2^{11904017664000} is an apocalyptic number.

11904017664000 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 11904017664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430657616000).

11904017664000 is an abundant number, since it is smaller than the sum of its proper divisors (38957297568000).

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

11904017664000 is a wasteful number, since it uses less digits than its factorization.

11904017664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 11904017664000 in words is "eleven trillion, nine hundred four billion, seventeen million, six hundred sixty-four thousand".