506665609931520 has 1728 divisors, whose sum is σ = 2011755219102720. Its totient is φ = 116785035214848.

The previous prime is 506665609931483. The next prime is 506665609931531. The reversal of 506665609931520 is 25139906566605.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37617159346 + ... + 37617172814.

It is an arithmetic number, because the mean of its divisors is an integer number (1164210196240).

Almost surely, 2^{506665609931520} 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 506665609931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005877609551360).

506665609931520 is an abundant number, since it is smaller than the sum of its proper divisors (1505089609171200).

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

506665609931520 is a wasteful number, since it uses less digits than its factorization.

506665609931520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13762 (or 13745 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 506665609931520 in words is "five hundred six trillion, six hundred sixty-five billion, six hundred nine million, nine hundred thirty-one thousand, five hundred twenty".