11863860480000 has 960 divisors, whose sum is σ = 44380712376000. Its totient is φ = 3130195968000.

The previous prime is 11863860479993. The next prime is 11863860480001. The reversal of 11863860480000 is 8406836811.

It is a happy number.

11863860480000 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 38 + 604 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11863860480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3352318231 + ... + 3352321769.

It is an arithmetic number, because the mean of its divisors is an integer number (46229908725).

Almost surely, 2^{11863860480000} is an apocalyptic number.

11863860480000 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 11863860480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190356188000).

11863860480000 is an abundant number, since it is smaller than the sum of its proper divisors (32516851896000).

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

11863860480000 is an frugal number, since it uses more digits than its factorization.

11863860480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11863860480000 in words is "eleven trillion, eight hundred sixty-three billion, eight hundred sixty million, four hundred eighty thousand".