11509478645760 has 1120 divisors, whose sum is σ = 42573686357664. Its totient is φ = 2972712960000.

The previous prime is 11509478645711. The next prime is 11509478645767. The reversal of 11509478645760 is 6754687490511.

11509478645760 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 9 + 47 + 86 + 457 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11509478645767) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 28701941560 + ... + 28701941960.

Almost surely, 2^{11509478645760} is an apocalyptic number.

11509478645760 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 11509478645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286843178832).

11509478645760 is an abundant number, since it is smaller than the sum of its proper divisors (31064207711904).

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

11509478645760 is an equidigital number, since it uses as much as digits as its factorization.

11509478645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 11509478645760 in words is "eleven trillion, five hundred nine billion, four hundred seventy-eight million, six hundred forty-five thousand, seven hundred sixty".