11519316480 has 480 divisors, whose sum is σ = 43444469376. Its totient is φ = 2550398976.

The previous prime is 11519316469. The next prime is 11519316491. The reversal of 11519316480 is 8461391511.

It is an interprime number because it is at equal distance from previous prime (11519316469) and next prime (11519316491).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118755792 + ... + 118755888.

Almost surely, 2^11519316480 is an apocalyptic number.

11519316480 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 11519316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722234688).

11519316480 is an abundant number, since it is smaller than the sum of its proper divisors (31925152896).

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

11519316480 is an frugal number, since it uses more digits than its factorization.

11519316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11519316480 in words is "eleven billion, five hundred nineteen million, three hundred sixteen thousand, four hundred eighty".