11807681940864 has 576 divisors, whose sum is σ = 36248853831840. Its totient is φ = 3688597979136.

The previous prime is 11807681940851. The next prime is 11807681940911. The reversal of 11807681940864 is 46804918670811.

11807681940864 is a `hidden beast` number, since 1 + 1 + 80 + 76 + 81 + 9 + 408 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 24245753229 + ... + 24245753715.

Almost surely, 2^{11807681940864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11807681940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124426915920).

11807681940864 is an abundant number, since it is smaller than the sum of its proper divisors (24441171890976).

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

11807681940864 is a wasteful number, since it uses less digits than its factorization.

11807681940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 11807681940864 in words is "eleven trillion, eight hundred seven billion, six hundred eighty-one million, nine hundred forty thousand, eight hundred sixty-four".