510656160016 has 80 divisors (see below), whose sum is σ = 1088498010240. Its totient is φ = 230999336960.

The previous prime is 510656159983. The next prime is 510656160031. The reversal of 510656160016 is 610061656015.

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 15 ways as a sum of consecutive naturals, for example, 1647981 + ... + 1933171.

It is an arithmetic number, because the mean of its divisors is an integer number (13606225128).

Almost surely, 2^510656160016 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 510656160016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544249005120).

510656160016 is an abundant number, since it is smaller than the sum of its proper divisors (577841850224).

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

510656160016 is a wasteful number, since it uses less digits than its factorization.

510656160016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285472 (or 285466 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 510656160016 in words is "five hundred ten billion, six hundred fifty-six million, one hundred sixty thousand, sixteen".