11482759800 has 192 divisors, whose sum is σ = 39623877600. Its totient is φ = 3056486400.

The previous prime is 11482759787. The next prime is 11482759811. The reversal of 11482759800 is 895728411.

11482759800 is a `hidden beast` number, since 11 + 48 + 2 + 7 + 598 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3567792 + ... + 3571008.

Almost surely, 2^11482759800 is an apocalyptic number.

11482759800 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 11482759800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811938800).

11482759800 is an abundant number, since it is smaller than the sum of its proper divisors (28141117800).

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

11482759800 is a wasteful number, since it uses less digits than its factorization.

11482759800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11482759800 in words is "eleven billion, four hundred eighty-two million, seven hundred fifty-nine thousand, eight hundred".