1159525103616 has 720 divisors, whose sum is σ = 3873387477960. Its totient is φ = 345246105600.

The previous prime is 1159525103591. The next prime is 1159525103657. The reversal of 1159525103616 is 6163015259511.

1159525103616 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 5 + 25 + 1 + 0 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1224418855 + ... + 1224419801.

Almost surely, 2^{1159525103616} is an apocalyptic number.

1159525103616 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 1159525103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936693738980).

1159525103616 is an abundant number, since it is smaller than the sum of its proper divisors (2713862374344).

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

1159525103616 is an equidigital number, since it uses as much as digits as its factorization.

1159525103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 1159525103616 in words is "one trillion, one hundred fifty-nine billion, five hundred twenty-five million, one hundred three thousand, six hundred sixteen".