3109142959560 has 288 divisors, whose sum is σ = 11110554000000. Its totient is φ = 753479274240.

The previous prime is 3109142959553. The next prime is 3109142959613. The reversal of 3109142959560 is 659592419013.

3109142959560 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 1 + 4 + 29 + 59 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3109142959497 and 3109142959506.

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 71 ways as a sum of consecutive naturals, for example, 152406241 + ... + 152426639.

It is an arithmetic number, because the mean of its divisors is an integer number (38578312500).

Almost surely, 2^{3109142959560} is an apocalyptic number.

3109142959560 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 3109142959560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555277000000).

3109142959560 is an abundant number, since it is smaller than the sum of its proper divisors (8001411040440).

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

3109142959560 is a wasteful number, since it uses less digits than its factorization.

3109142959560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23937 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 3109142959560 in words is "three trillion, one hundred nine billion, one hundred forty-two million, nine hundred fifty-nine thousand, five hundred sixty".