7561486843120 has 160 divisors (see below), whose sum is σ = 20138463198720. Its totient is φ = 2586512839680.

The previous prime is 7561486843111. The next prime is 7561486843133. The reversal of 7561486843120 is 213486841657.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861310891 + ... + 861319669.

It is an arithmetic number, because the mean of its divisors is an integer number (125865394992).

Almost surely, 2^{7561486843120} is an apocalyptic number.

7561486843120 is a gapful number since it is divisible by the number (70) 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 7561486843120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069231599360).

7561486843120 is an abundant number, since it is smaller than the sum of its proper divisors (12576976355600).

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

7561486843120 is a wasteful number, since it uses less digits than its factorization.

7561486843120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 7561486843120 in words is "seven trillion, five hundred sixty-one billion, four hundred eighty-six million, eight hundred forty-three thousand, one hundred twenty".