11785124520 has 192 divisors, whose sum is σ = 42027083280. Its totient is φ = 2846158848.

The previous prime is 11785124503. The next prime is 11785124521. The reversal of 11785124520 is 2542158711.

It is a happy number.

11785124520 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 5 + 124 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2577186756 + 9207937764 = 50766^2 + 95958^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11785124521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224284 + ... + 271796.

Almost surely, 2^11785124520 is an apocalyptic number.

11785124520 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 11785124520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013541640).

11785124520 is an abundant number, since it is smaller than the sum of its proper divisors (30241958760).

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

11785124520 is a wasteful number, since it uses less digits than its factorization.

11785124520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47596 (or 47589 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11785124520 in words is "eleven billion, seven hundred eighty-five million, one hundred twenty-four thousand, five hundred twenty".