11885548800 has 432 divisors, whose sum is σ = 42661713920. Its totient is φ = 2903040000.

The previous prime is 11885548783. The next prime is 11885548811. The reversal of 11885548800 is 884558811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11885548800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11308275 + ... + 11309325.

Almost surely, 2^11885548800 is an apocalyptic number.

11885548800 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 11885548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330856960).

11885548800 is an abundant number, since it is smaller than the sum of its proper divisors (30776165120).

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

11885548800 is a wasteful number, since it uses less digits than its factorization.

11885548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 48.

The spelling of 11885548800 in words is "eleven billion, eight hundred eighty-five million, five hundred forty-eight thousand, eight hundred".