11478024000 has 280 divisors, whose sum is σ = 42464921928. Its totient is φ = 3060633600.

The previous prime is 11478023987. The next prime is 11478024031. The reversal of 11478024000 is 42087411.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 11447288064 = 5544^2 + 106992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639144 + ... + 656856.

Almost surely, 2^11478024000 is an apocalyptic number.

11478024000 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 11478024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232460964).

11478024000 is an abundant number, since it is smaller than the sum of its proper divisors (30986897928).

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

11478024000 is an equidigital number, since it uses as much as digits as its factorization.

11478024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17752 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11478024000 in words is "eleven billion, four hundred seventy-eight million, twenty-four thousand".