52507666638 has 320 divisors, whose sum is σ = 147495321600. Its totient is φ = 13623785280.

The previous prime is 52507666637. The next prime is 52507666649. The reversal of 52507666638 is 83666670525.

It is a happy number.

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 (52507666637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84826293 + ... + 84826911.

It is an arithmetic number, because the mean of its divisors is an integer number (460922880).

Almost surely, 2^52507666638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52507666638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73747660800).

52507666638 is an abundant number, since it is smaller than the sum of its proper divisors (94987654962).

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

52507666638 is a wasteful number, since it uses less digits than its factorization.

52507666638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 52507666638 in words is "fifty-two billion, five hundred seven million, six hundred sixty-six thousand, six hundred thirty-eight".