11988597976992 has 864 divisors, whose sum is σ = 45656380643328. Its totient is φ = 3024303879168.

The previous prime is 11988597976973. The next prime is 11988597977003. The reversal of 11988597976992 is 29967979588911.

11988597976992 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 8 + 597 + 9 + 7 + 6 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×11988597976992² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211548853 + ... + 211605515.

It is an arithmetic number, because the mean of its divisors is an integer number (52843033152).

Almost surely, 2^{11988597976992} is an apocalyptic number.

11988597976992 is a gapful number since it is divisible by the number (12) 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 11988597976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828190321664).

11988597976992 is an abundant number, since it is smaller than the sum of its proper divisors (33667782666336).

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

11988597976992 is a wasteful number, since it uses less digits than its factorization.

11988597976992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56744 (or 56711 counting only the distinct ones).

The product of its digits is 11110659840, while the sum is 90.

The spelling of 11988597976992 in words is "eleven trillion, nine hundred eighty-eight billion, five hundred ninety-seven million, nine hundred seventy-six thousand, nine hundred ninety-two".