11825759616 has 128 divisors (see below), whose sum is σ = 34468035840. Its totient is φ = 3562629120.

The previous prime is 11825759609. The next prime is 11825759641. The reversal of 11825759616 is 61695752811.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722661 + ... + 738843.

It is an arithmetic number, because the mean of its divisors is an integer number (269281530).

Almost surely, 2^11825759616 is an apocalyptic number.

11825759616 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 11825759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234017920).

11825759616 is an abundant number, since it is smaller than the sum of its proper divisors (22642276224).

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

11825759616 is a wasteful number, since it uses less digits than its factorization.

11825759616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16384 (or 16372 counting only the distinct ones).

The product of its digits is 907200, while the sum is 51.

The spelling of 11825759616 in words is "eleven billion, eight hundred twenty-five million, seven hundred fifty-nine thousand, six hundred sixteen".