11987734487040 has 1008 divisors, whose sum is σ = 45213676530048. Its totient is φ = 2936672354304.

The previous prime is 11987734487011. The next prime is 11987734487041. The reversal of 11987734487040 is 4078443778911.

11987734487040 is a `hidden beast` number, since 1 + 1 + 9 + 87 + 7 + 3 + 448 + 70 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987734487041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19749150417 + ... + 19749151023.

Almost surely, 2^{11987734487040} is an apocalyptic number.

11987734487040 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 11987734487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22606838265024).

11987734487040 is an abundant number, since it is smaller than the sum of its proper divisors (33225942043008).

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

11987734487040 is a wasteful number, since it uses less digits than its factorization.

11987734487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 11987734487040 in words is "eleven trillion, nine hundred eighty-seven billion, seven hundred thirty-four million, four hundred eighty-seven thousand, forty".