11839122992160 has 288 divisors, whose sum is σ = 42341694071040. Its totient is φ = 3006645295104.

The previous prime is 11839122992143. The next prime is 11839122992167. The reversal of 11839122992160 is 6129922193811.

It is a happy number.

11839122992160 is a `hidden beast` number, since 1 + 1 + 8 + 391 + 2 + 2 + 9 + 92 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11839122992097 and 11839122992106.

It is not an unprimeable number, because it can be changed into a prime (11839122992167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6803997 + ... + 8364963.

It is an arithmetic number, because the mean of its divisors is an integer number (147019771080).

Almost surely, 2^{11839122992160} is an apocalyptic number.

11839122992160 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 11839122992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170847035520).

11839122992160 is an abundant number, since it is smaller than the sum of its proper divisors (30502571078880).

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

11839122992160 is a wasteful number, since it uses less digits than its factorization.

11839122992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561240 (or 1561229 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11839122992160 in words is "eleven trillion, eight hundred thirty-nine billion, one hundred twenty-two million, nine hundred ninety-two thousand, one hundred sixty".