3559525125120 has 528 divisors, whose sum is σ = 12764499647328. Its totient is φ = 916444938240.

The previous prime is 3559525125049. The next prime is 3559525125127. The reversal of 3559525125120 is 215215259553.

3559525125120 is a `hidden beast` number, since 3 + 5 + 5 + 9 + 5 + 2 + 512 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3559525125127) 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, 223341792 + ... + 223357728.

It is an arithmetic number, because the mean of its divisors is an integer number (24175188726).

Almost surely, 2^{3559525125120} is an apocalyptic number.

3559525125120 is a gapful number since it is divisible by the number (30) 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 3559525125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382249823664).

3559525125120 is an abundant number, since it is smaller than the sum of its proper divisors (9204974522208).

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

3559525125120 is a wasteful number, since it uses less digits than its factorization.

3559525125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 3559525125120 in words is "three trillion, five hundred fifty-nine billion, five hundred twenty-five million, one hundred twenty-five thousand, one hundred twenty".