11862553248 has 576 divisors, whose sum is σ = 44281762560. Its totient is φ = 3008378880.

The previous prime is 11862553229. The next prime is 11862553249. The reversal of 11862553248 is 84235526811.

11862553248 is a `hidden beast` number, since 1 + 18 + 62 + 5 + 532 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (11862553249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 75557586 + ... + 75557742.

It is an arithmetic number, because the mean of its divisors is an integer number (76878060).

Almost surely, 2^11862553248 is an apocalyptic number.

11862553248 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 11862553248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140881280).

11862553248 is an abundant number, since it is smaller than the sum of its proper divisors (32419209312).

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

11862553248 is a wasteful number, since it uses less digits than its factorization.

11862553248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 213 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11862553248 in words is "eleven billion, eight hundred sixty-two million, five hundred fifty-three thousand, two hundred forty-eight".