510478553971648 has 112 divisors (see below), whose sum is σ = 1036786195160064. Its totient is φ = 249264864414720.

The previous prime is 510478553971583. The next prime is 510478553971703. The reversal of 510478553971648 is 846179355874015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15793027615 + ... + 15793059937.

Almost surely, 2^{510478553971648} 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 510478553971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518393097580032).

510478553971648 is an abundant number, since it is smaller than the sum of its proper divisors (526307641188416).

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

510478553971648 is a wasteful number, since it uses less digits than its factorization.

510478553971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43650 (or 43640 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 73.

The spelling of 510478553971648 in words is "five hundred ten trillion, four hundred seventy-eight billion, five hundred fifty-three million, nine hundred seventy-one thousand, six hundred forty-eight".