11921639364576 has 240 divisors, whose sum is σ = 35316408259440. Its totient is φ = 3945056348160.

The previous prime is 11921639364511. The next prime is 11921639364643. The reversal of 11921639364576 is 67546393612911.

11921639364576 is a `hidden beast` number, since 1 + 1 + 9 + 21 + 6 + 3 + 9 + 36 + 4 + 576 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 205939156 + ... + 205997036.

It is an arithmetic number, because the mean of its divisors is an integer number (147151701081).

Almost surely, 2^{11921639364576} is an apocalyptic number.

11921639364576 is a gapful number since it is divisible by the number (16) 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 11921639364576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658204129720).

11921639364576 is an abundant number, since it is smaller than the sum of its proper divisors (23394768894864).

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

11921639364576 is a wasteful number, since it uses less digits than its factorization.

11921639364576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58479 (or 58462 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 11921639364576 in words is "eleven trillion, nine hundred twenty-one billion, six hundred thirty-nine million, three hundred sixty-four thousand, five hundred seventy-six".