52518932928 has 672 divisors, whose sum is σ = 196789608960. Its totient is φ = 13610488320.

The previous prime is 52518932909. The next prime is 52518932929. The reversal of 52518932928 is 82923981525.

It is a happy number.

52518932928 is a `hidden beast` number, since 5 + 2 + 518 + 9 + 32 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52518932929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118552675 + ... + 118553117.

It is an arithmetic number, because the mean of its divisors is an integer number (292841680).

Almost surely, 2^52518932928 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 52518932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98394804480).

52518932928 is an abundant number, since it is smaller than the sum of its proper divisors (144270676032).

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

52518932928 is an equidigital number, since it uses as much as digits as its factorization.

52518932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 466 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 52518932928 in words is "fifty-two billion, five hundred eighteen million, nine hundred thirty-two thousand, nine hundred twenty-eight".