11382563495520 has 768 divisors, whose sum is σ = 48265385656320. Its totient is φ = 2445796933632.

The previous prime is 11382563495491. The next prime is 11382563495521. The reversal of 11382563495520 is 2559436528311.

11382563495520 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 56 + 34 + 9 + 552 + 0 = 666.

11382563495520 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382563495521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450835537 + ... + 450860783.

It is an arithmetic number, because the mean of its divisors is an integer number (62845554240).

Almost surely, 2^{11382563495520} is an apocalyptic number.

11382563495520 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 11382563495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132692828160).

11382563495520 is an abundant number, since it is smaller than the sum of its proper divisors (36882822160800).

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

11382563495520 is a wasteful number, since it uses less digits than its factorization.

11382563495520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26172 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 11382563495520 in words is "eleven trillion, three hundred eighty-two billion, five hundred sixty-three million, four hundred ninety-five thousand, five hundred twenty".