11968431751584 has 1944 divisors, whose sum is σ = 46966638438720. Its totient is φ = 2879374417920.

The previous prime is 11968431751559. The next prime is 11968431751597. The reversal of 11968431751584 is 48515713486911.

11968431751584 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 8 + 4 + 31 + 7 + 515 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 38985119559 + ... + 38985119865.

Almost surely, 2^{11968431751584} is an apocalyptic number.

11968431751584 is a gapful number since it is divisible by the number (14) 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 11968431751584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23483319219360).

11968431751584 is an abundant number, since it is smaller than the sum of its proper divisors (34998206687136).

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

11968431751584 is a wasteful number, since it uses less digits than its factorization.

11968431751584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 426 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 11968431751584 in words is "eleven trillion, nine hundred sixty-eight billion, four hundred thirty-one million, seven hundred fifty-one thousand, five hundred eighty-four".