11382708960 has 576 divisors, whose sum is σ = 46545408000. Its totient is φ = 2478366720.

The previous prime is 11382708919. The next prime is 11382708973. The reversal of 11382708960 is 6980728311.

11382708960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22810791 + ... + 22811289.

It is an arithmetic number, because the mean of its divisors is an integer number (80808000).

Almost surely, 2^11382708960 is an apocalyptic number.

11382708960 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 11382708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272704000).

11382708960 is an abundant number, since it is smaller than the sum of its proper divisors (35162699040).

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

11382708960 is a wasteful number, since it uses less digits than its factorization.

11382708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11382708960 in words is "eleven billion, three hundred eighty-two million, seven hundred eight thousand, nine hundred sixty".