11856447792 has 320 divisors, whose sum is σ = 41902080000. Its totient is φ = 3133976832.

The previous prime is 11856447791. The next prime is 11856447871. The reversal of 11856447792 is 29774465811.

11856447792 is a `hidden beast` number, since 1 + 1 + 8 + 564 + 4 + 7 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11856447791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2468209 + ... + 2473007.

It is an arithmetic number, because the mean of its divisors is an integer number (130944000).

Almost surely, 2^11856447792 is an apocalyptic number.

11856447792 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 11856447792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951040000).

11856447792 is an abundant number, since it is smaller than the sum of its proper divisors (30045632208).

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

11856447792 is a wasteful number, since it uses less digits than its factorization.

11856447792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4873 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 11856447792 in words is "eleven billion, eight hundred fifty-six million, four hundred forty-seven thousand, seven hundred ninety-two".