11996095168512 has 1440 divisors, whose sum is σ = 44685841589760. Its totient is φ = 3152625795072.

The previous prime is 11996095168489. The next prime is 11996095168513. The reversal of 11996095168512 is 21586159069911.

11996095168512 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 6 + 0 + 9 + 51 + 68 + 512 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11996095168512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996095168513) 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 95 ways as a sum of consecutive naturals, for example, 42389028723 + ... + 42389029005.

Almost surely, 2^{11996095168512} is an apocalyptic number.

11996095168512 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 11996095168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342920794880).

11996095168512 is an abundant number, since it is smaller than the sum of its proper divisors (32689746421248).

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

11996095168512 is an frugal number, since it uses more digits than its factorization.

11996095168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 63.

The spelling of 11996095168512 in words is "eleven trillion, nine hundred ninety-six billion, ninety-five million, one hundred sixty-eight thousand, five hundred twelve".