11840257728 has 224 divisors, whose sum is σ = 37590902720. Its totient is φ = 3632947200.

The previous prime is 11840257711. The next prime is 11840257763. The reversal of 11840257728 is 82775204811.

11840257728 is a `hidden beast` number, since 1 + 18 + 40 + 2 + 577 + 28 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13500426 + ... + 13501302.

It is an arithmetic number, because the mean of its divisors is an integer number (167816530).

Almost surely, 2^11840257728 is an apocalyptic number.

11840257728 is a gapful number since it is divisible by the number (18) 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 11840257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795451360).

11840257728 is an abundant number, since it is smaller than the sum of its proper divisors (25750644992).

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

11840257728 is a wasteful number, since it uses less digits than its factorization.

11840257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11840257728 in words is "eleven billion, eight hundred forty million, two hundred fifty-seven thousand, seven hundred twenty-eight".