11388948480 has 936 divisors, whose sum is σ = 49964379192. Its totient is φ = 2378170368.

The previous prime is 11388948413. The next prime is 11388948539. The reversal of 11388948480 is 8484988311.

11388948480 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 89 + 484 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 11273342976 = 10752^2 + 106176^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117411792 + ... + 117411888.

It is an arithmetic number, because the mean of its divisors is an integer number (53380747).

Almost surely, 2^11388948480 is an apocalyptic number.

11388948480 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 11388948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24982189596).

11388948480 is an abundant number, since it is smaller than the sum of its proper divisors (38575430712).

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

11388948480 is a wasteful number, since it uses less digits than its factorization.

11388948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 11388948480 in words is "eleven billion, three hundred eighty-eight million, nine hundred forty-eight thousand, four hundred eighty".