11853336960 has 512 divisors, whose sum is σ = 44847360000. Its totient is φ = 2950152192.

The previous prime is 11853336949. The next prime is 11853336997. The reversal of 11853336960 is 6963335811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25937052 + ... + 25937508.

It is an arithmetic number, because the mean of its divisors is an integer number (87592500).

Almost surely, 2^11853336960 is an apocalyptic number.

11853336960 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 11853336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22423680000).

11853336960 is an abundant number, since it is smaller than the sum of its proper divisors (32994023040).

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

11853336960 is a wasteful number, since it uses less digits than its factorization.

11853336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11853336960 in words is "eleven billion, eight hundred fifty-three million, three hundred thirty-six thousand, nine hundred sixty".