11388060552960 has 5040 divisors, whose sum is σ = 56769779029824. Its totient is φ = 2163094585344.

The previous prime is 11388060552959. The next prime is 11388060552991. The reversal of 11388060552960 is 6925506088311.

11388060552960 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 8 + 0 + 605 + 5 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11388060552897 and 11388060552906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 495133067509 + ... + 495133067531.

Almost surely, 2^{11388060552960} is an apocalyptic number.

11388060552960 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 11388060552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384889514912).

11388060552960 is an abundant number, since it is smaller than the sum of its proper divisors (45381718476864).

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

11388060552960 is an frugal number, since it uses more digits than its factorization.

11388060552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 11388060552960 in words is "eleven trillion, three hundred eighty-eight billion, sixty million, five hundred fifty-two thousand, nine hundred sixty".