7559561984130 has 160 divisors (see below), whose sum is σ = 21926865624048. Its totient is φ = 1857717504000.

The previous prime is 7559561984089. The next prime is 7559561984137. The reversal of 7559561984130 is 314891659557.

7559561984130 is a `hidden beast` number, since 7 + 5 + 5 + 9 + 5 + 619 + 8 + 4 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2470174879041 + 5089387105089 = 1571679^2 + 2255967^2 .

It is not an unprimeable number, because it can be changed into a prime (7559561984137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5731270 + ... + 6925790.

Almost surely, 2^{7559561984130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7559561984130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963432812024).

7559561984130 is an abundant number, since it is smaller than the sum of its proper divisors (14367303639918).

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

7559561984130 is a wasteful number, since it uses less digits than its factorization.

7559561984130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195154 (or 1195145 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 7559561984130 in words is "seven trillion, five hundred fifty-nine billion, five hundred sixty-one million, nine hundred eighty-four thousand, one hundred thirty".