11487968764800 has 768 divisors, whose sum is σ = 42120790525440. Its totient is φ = 2728488960000.

The previous prime is 11487968764781. The next prime is 11487968764807. The reversal of 11487968764800 is 846786978411.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11487968764807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1694137410 + ... + 1694144190.

It is an arithmetic number, because the mean of its divisors is an integer number (54844779330).

Almost surely, 2^{11487968764800} is an apocalyptic number.

11487968764800 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 11487968764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060395262720).

11487968764800 is an abundant number, since it is smaller than the sum of its proper divisors (30632821760640).

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

11487968764800 is a wasteful number, since it uses less digits than its factorization.

11487968764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 69.

The spelling of 11487968764800 in words is "eleven trillion, four hundred eighty-seven billion, nine hundred sixty-eight million, seven hundred sixty-four thousand, eight hundred".