11995642183680 has 1920 divisors, whose sum is σ = 47290173235200. Its totient is φ = 2874679492608.

The previous prime is 11995642183673. The next prime is 11995642183687. The reversal of 11995642183680 is 8638124659911.

11995642183680 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 56 + 4 + 218 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11995642183673) and next prime (11995642183687).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11995642183687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69338972074 + ... + 69338972246.

It is an arithmetic number, because the mean of its divisors is an integer number (24630298560).

Almost surely, 2^{11995642183680} is an apocalyptic number.

11995642183680 is a gapful number since it is divisible by the number (10) 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 11995642183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645086617600).

11995642183680 is an abundant number, since it is smaller than the sum of its proper divisors (35294531051520).

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

11995642183680 is a wasteful number, since it uses less digits than its factorization.

11995642183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11995642183680 in words is "eleven trillion, nine hundred ninety-five billion, six hundred forty-two million, one hundred eighty-three thousand, six hundred eighty".