11852058240 has 512 divisors, whose sum is σ = 47800627200. Its totient is φ = 2747289600.

The previous prime is 11852058209. The next prime is 11852058287. The reversal of 11852058240 is 4285025811.

11852058240 is a `hidden beast` number, since 1 + 18 + 5 + 20 + 582 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11852058195 and 11852058204.

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, 4370485 + ... + 4373195.

It is an arithmetic number, because the mean of its divisors is an integer number (93360600).

Almost surely, 2^11852058240 is an apocalyptic number.

11852058240 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 11852058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23900313600).

11852058240 is an abundant number, since it is smaller than the sum of its proper divisors (35948568960).

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

11852058240 is a wasteful number, since it uses less digits than its factorization.

11852058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 11852058240 in words is "eleven billion, eight hundred fifty-two million, fifty-eight thousand, two hundred forty".