11478287920 has 80 divisors (see below), whose sum is σ = 29208630528. Its totient is φ = 4160229120.

The previous prime is 11478287893. The next prime is 11478287983. The reversal of 11478287920 is 2978287411.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 248917 + ... + 291403.

Almost surely, 2^11478287920 is an apocalyptic number.

11478287920 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 11478287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604315264).

11478287920 is an abundant number, since it is smaller than the sum of its proper divisors (17730342608).

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

11478287920 is a wasteful number, since it uses less digits than its factorization.

11478287920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42818 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 49.

The spelling of 11478287920 in words is "eleven billion, four hundred seventy-eight million, two hundred eighty-seven thousand, nine hundred twenty".