11648880540000 has 2880 divisors, whose sum is σ = 49453785722880. Its totient is φ = 2694384000000.

The previous prime is 11648880539999. The next prime is 11648880540007. The reversal of 11648880540000 is 4508884611.

11648880540000 is a `hidden beast` number, since 1 + 164 + 8 + 8 + 80 + 5 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648880540007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 164068739965 + ... + 164068740035.

It is an arithmetic number, because the mean of its divisors is an integer number (17171453376).

Almost surely, 2^{11648880540000} is an apocalyptic number.

11648880540000 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 11648880540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24726892861440).

11648880540000 is an abundant number, since it is smaller than the sum of its proper divisors (37804905182880).

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

11648880540000 is an frugal number, since it uses more digits than its factorization.

11648880540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11648880540000 in words is "eleven trillion, six hundred forty-eight billion, eight hundred eighty million, five hundred forty thousand".