11856723121152 has 3168 divisors, whose sum is σ = 48709319393280. Its totient is φ = 2844328919040.

The previous prime is 11856723121031. The next prime is 11856723121211. The reversal of 11856723121152 is 25112132765811.

11856723121152 is a `hidden beast` number, since 1 + 1 + 8 + 567 + 2 + 31 + 2 + 1 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11856723121098 and 11856723121107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93360024513 + ... + 93360024639.

Almost surely, 2^{11856723121152} is an apocalyptic number.

11856723121152 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 11856723121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24354659696640).

11856723121152 is an abundant number, since it is smaller than the sum of its proper divisors (36852596272128).

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

11856723121152 is a wasteful number, since it uses less digits than its factorization.

11856723121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

Adding to 11856723121152 its reverse (25112132765811), we get a palindrome (36968855886963).

The spelling of 11856723121152 in words is "eleven trillion, eight hundred fifty-six billion, seven hundred twenty-three million, one hundred twenty-one thousand, one hundred fifty-two".