11896673789952 has 768 divisors, whose sum is σ = 41777648640000. Its totient is φ = 3272895037440.

The previous prime is 11896673789939. The next prime is 11896673789969. The reversal of 11896673789952 is 25998737669811.

11896673789952 is a `hidden beast` number, since 1 + 18 + 96 + 67 + 378 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4838011699 + ... + 4838014157.

It is an arithmetic number, because the mean of its divisors is an integer number (54397980000).

Almost surely, 2^{11896673789952} is an apocalyptic number.

11896673789952 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 11896673789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888824320000).

11896673789952 is an abundant number, since it is smaller than the sum of its proper divisors (29880974850048).

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

11896673789952 is a wasteful number, since it uses less digits than its factorization.

11896673789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2931 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 81.

The spelling of 11896673789952 in words is "eleven trillion, eight hundred ninety-six billion, six hundred seventy-three million, seven hundred eighty-nine thousand, nine hundred fifty-two".