11852284160 has 72 divisors (see below), whose sum is σ = 28665873600. Its totient is φ = 4694833152.

The previous prime is 11852284091. The next prime is 11852284181. The reversal of 11852284160 is 6148225811.

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 7 ways as a sum of consecutive naturals, for example, 86891 + ... + 176789.

Almost surely, 2^11852284160 is an apocalyptic number.

11852284160 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 11852284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332936800).

11852284160 is an abundant number, since it is smaller than the sum of its proper divisors (16813589440).

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

11852284160 is an equidigital number, since it uses as much as digits as its factorization.

11852284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90023 (or 90009 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 11852284160 in words is "eleven billion, eight hundred fifty-two million, two hundred eighty-four thousand, one hundred sixty".