3123055076960 has 1152 divisors, whose sum is σ = 10051369574400. Its totient is φ = 894361927680.

The previous prime is 3123055076957. The next prime is 3123055076971. The reversal of 3123055076960 is 696705503213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12151965152 + ... + 12151965408.

It is an arithmetic number, because the mean of its divisors is an integer number (8725147200).

Almost surely, 2^{3123055076960} 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 3123055076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025684787200).

3123055076960 is an abundant number, since it is smaller than the sum of its proper divisors (6928314497440).

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

3123055076960 is a wasteful number, since it uses less digits than its factorization.

3123055076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 47.

The spelling of 3123055076960 in words is "three trillion, one hundred twenty-three billion, fifty-five million, seventy-six thousand, nine hundred sixty".