11510252416 has 64 divisors (see below), whose sum is σ = 25113236400. Its totient is φ = 5222338560.

The previous prime is 11510252393. The next prime is 11510252447. The reversal of 11510252416 is 61425201511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39556 + ... + 156796.

Almost surely, 2^11510252416 is an apocalyptic number.

11510252416 is a gapful number since it is divisible by the number (16) 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 11510252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556618200).

11510252416 is an abundant number, since it is smaller than the sum of its proper divisors (13602983984).

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

11510252416 is a wasteful number, since it uses less digits than its factorization.

11510252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117327 (or 117315 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 11510252416 its reverse (61425201511), we get a palindrome (72935453927).

The spelling of 11510252416 in words is "eleven billion, five hundred ten million, two hundred fifty-two thousand, four hundred sixteen".