521874747648 has 108 divisors (see below), whose sum is σ = 1505351868748. Its totient is φ = 173882142720.

The previous prime is 521874747629. The next prime is 521874747721. The reversal of 521874747648 is 846747478125.

521874747648 is a `hidden beast` number, since 5 + 2 + 1 + 87 + 47 + 476 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 465626087424 + 56248660224 = 682368^2 + 237168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5345286 + ... + 5442042.

Almost surely, 2^521874747648 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 521874747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752675934374).

521874747648 is an abundant number, since it is smaller than the sum of its proper divisors (983477121100).

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

521874747648 is a wasteful number, since it uses less digits than its factorization.

521874747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99120 (or 99103 counting only the distinct ones).

The product of its digits is 84295680, while the sum is 63.

The spelling of 521874747648 in words is "five hundred twenty-one billion, eight hundred seventy-four million, seven hundred forty-seven thousand, six hundred forty-eight".