11484010800 has 180 divisors, whose sum is σ = 40026672504. Its totient is φ = 3049036800.

The previous prime is 11484010793. The next prime is 11484010807. The reversal of 11484010800 is 801048411.

It is an interprime number because it is at equal distance from previous prime (11484010793) and next prime (11484010807).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (11484010807) 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 35 ways as a sum of consecutive naturals, for example, 831955 + ... + 845645.

Almost surely, 2^11484010800 is an apocalyptic number.

11484010800 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 11484010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013336252).

11484010800 is an abundant number, since it is smaller than the sum of its proper divisors (28542661704).

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

11484010800 is a wasteful number, since it uses less digits than its factorization.

11484010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11484010800 in words is "eleven billion, four hundred eighty-four million, ten thousand, eight hundred".