11478892320 has 672 divisors, whose sum is σ = 49261177728. Its totient is φ = 2466422784.

The previous prime is 11478892309. The next prime is 11478892349. The reversal of 11478892320 is 2329887411.

It is a happy number.

11478892320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13879747 + ... + 13880573.

It is an arithmetic number, because the mean of its divisors is an integer number (73305324).

Almost surely, 2^11478892320 is an apocalyptic number.

11478892320 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 11478892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630588864).

11478892320 is an abundant number, since it is smaller than the sum of its proper divisors (37782285408).

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

11478892320 is an equidigital number, since it uses as much as digits as its factorization.

11478892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11478892320 in words is "eleven billion, four hundred seventy-eight million, eight hundred ninety-two thousand, three hundred twenty".