11496018960 has 240 divisors, whose sum is σ = 40606151040. Its totient is φ = 3022064640.

The previous prime is 11496018949. The next prime is 11496018967. The reversal of 11496018960 is 6981069411.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (11496018967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376076 + ... + 1384404.

It is an arithmetic number, because the mean of its divisors is an integer number (169192296).

Almost surely, 2^11496018960 is an apocalyptic number.

11496018960 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 11496018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303075520).

11496018960 is an abundant number, since it is smaller than the sum of its proper divisors (29110132080).

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

11496018960 is an equidigital number, since it uses as much as digits as its factorization.

11496018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11496018960 in words is "eleven billion, four hundred ninety-six million, eighteen thousand, nine hundred sixty".