11519656960 has 528 divisors, whose sum is σ = 35434945584. Its totient is φ = 3567255552.

The previous prime is 11519656931. The next prime is 11519656961. The reversal of 11519656960 is 6965691511.

It can be written as a sum of positive squares in 8 ways, for example, as 1268499456 + 10251157504 = 35616^2 + 101248^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11519656961) 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, 157803484 + ... + 157803556.

Almost surely, 2^11519656960 is an apocalyptic number.

11519656960 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 11519656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717472792).

11519656960 is an abundant number, since it is smaller than the sum of its proper divisors (23915288624).

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

11519656960 is a wasteful number, since it uses less digits than its factorization.

11519656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 49.

The spelling of 11519656960 in words is "eleven billion, five hundred nineteen million, six hundred fifty-six thousand, nine hundred sixty".