512048509488 has 240 divisors, whose sum is σ = 1522512076800. Its totient is φ = 160196175360.

The previous prime is 512048509463. The next prime is 512048509493. The reversal of 512048509488 is 884905840215.

512048509488 is a `hidden beast` number, since 5 + 12 + 0 + 48 + 509 + 4 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400350033 + ... + 400351311.

It is an arithmetic number, because the mean of its divisors is an integer number (6343800320).

Almost surely, 2^512048509488 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 512048509488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761256038400).

512048509488 is an abundant number, since it is smaller than the sum of its proper divisors (1010463567312).

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

512048509488 is a wasteful number, since it uses less digits than its factorization.

512048509488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 512048509488 in words is "five hundred twelve billion, forty-eight million, five hundred nine thousand, four hundred eighty-eight".