11987461881600 has 324 divisors, whose sum is σ = 41752897627896. Its totient is φ = 3028409671680.

The previous prime is 11987461881569. The next prime is 11987461881617. The reversal of 11987461881600 is 618816478911.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6066454 + ... + 7795946.

Almost surely, 2^{11987461881600} is an apocalyptic number.

11987461881600 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 11987461881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876448813948).

11987461881600 is an abundant number, since it is smaller than the sum of its proper divisors (29765435746296).

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

11987461881600 is a wasteful number, since it uses less digits than its factorization.

11987461881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729560 (or 1729522 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 60.

The spelling of 11987461881600 in words is "eleven trillion, nine hundred eighty-seven billion, four hundred sixty-one million, eight hundred eighty-one thousand, six hundred".