11855241216 has 896 divisors, whose sum is σ = 46973337600. Its totient is φ = 2866544640.

The previous prime is 11855241191. The next prime is 11855241217. The reversal of 11855241216 is 61214255811.

11855241216 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 524 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (19200) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11855241217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382427121 + ... + 382427151.

It is an arithmetic number, because the mean of its divisors is an integer number (52425600).

Almost surely, 2^11855241216 is an apocalyptic number.

11855241216 is a gapful number since it is divisible by the number (16) 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 11855241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486668800).

11855241216 is an abundant number, since it is smaller than the sum of its proper divisors (35118096384).

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

11855241216 is a wasteful number, since it uses less digits than its factorization.

11855241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The spelling of 11855241216 in words is "eleven billion, eight hundred fifty-five million, two hundred forty-one thousand, two hundred sixteen".