11478979200 has 768 divisors, whose sum is σ = 44197171200. Its totient is φ = 2594488320.

The previous prime is 11478979151. The next prime is 11478979217. The reversal of 11478979200 is 297987411.

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 11478979200.

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 95 ways as a sum of consecutive naturals, for example, 111446349 + ... + 111446451.

It is an arithmetic number, because the mean of its divisors is an integer number (57548400).

Almost surely, 2^11478979200 is an apocalyptic number.

11478979200 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 11478979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22098585600).

11478979200 is an abundant number, since it is smaller than the sum of its proper divisors (32718192000).

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

11478979200 is a wasteful number, since it uses less digits than its factorization.

11478979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 11478979200 in words is "eleven billion, four hundred seventy-eight million, nine hundred seventy-nine thousand, two hundred".