11519790240 has 576 divisors, whose sum is σ = 45720267264. Its totient is φ = 2421522432.

The previous prime is 11519790211. The next prime is 11519790277. The reversal of 11519790240 is 4209791511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18792174 + ... + 18792786.

It is an arithmetic number, because the mean of its divisors is an integer number (79375464).

Almost surely, 2^11519790240 is an apocalyptic number.

11519790240 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 11519790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860133632).

11519790240 is an abundant number, since it is smaller than the sum of its proper divisors (34200477024).

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

11519790240 is a wasteful number, since it uses less digits than its factorization.

11519790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 11519790240 in words is "eleven billion, five hundred nineteen million, seven hundred ninety thousand, two hundred forty".