11680049664000 has 2080 divisors, whose sum is σ = 46779804888960. Its totient is φ = 2902376448000.

The previous prime is 11680049663983. The next prime is 11680049664007. The reversal of 11680049664000 is 46694008611.

11680049664000 is a `hidden beast` number, since 116 + 8 + 0 + 0 + 496 + 6 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11680049664007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191476223970 + ... + 191476224030.

It is an arithmetic number, because the mean of its divisors is an integer number (22490290812).

Almost surely, 2^{11680049664000} is an apocalyptic number.

11680049664000 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 11680049664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23389902444480).

11680049664000 is an abundant number, since it is smaller than the sum of its proper divisors (35099755224960).

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

11680049664000 is an frugal number, since it uses more digits than its factorization.

11680049664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11680049664000 in words is "eleven trillion, six hundred eighty billion, forty-nine million, six hundred sixty-four thousand".