3561130128160 has 96 divisors (see below), whose sum is σ = 9186284520000. Its totient is φ = 1293788021760.

The previous prime is 3561130128151. The next prime is 3561130128167. The reversal of 3561130128160 is 618210311653.

3561130128160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3561130128167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039591 + ... + 2864089.

It is an arithmetic number, because the mean of its divisors is an integer number (95690463750).

Almost surely, 2^{3561130128160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561130128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593142260000).

3561130128160 is an abundant number, since it is smaller than the sum of its proper divisors (5625154391840).

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

3561130128160 is a wasteful number, since it uses less digits than its factorization.

3561130128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825634 (or 1825626 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 3561130128160 in words is "three trillion, five hundred sixty-one billion, one hundred thirty million, one hundred twenty-eight thousand, one hundred sixty".