52626609504 has 576 divisors, whose sum is σ = 185859588096. Its totient is φ = 13785956352.

The previous prime is 52626609499. The next prime is 52626609509. The reversal of 52626609504 is 40590662625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52626609499) and next prime (52626609509).

It is a self number, because there is not a number n which added to its sum of digits gives 52626609504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52626609509) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 414382689 + ... + 414382815.

It is an arithmetic number, because the mean of its divisors is an integer number (322672896).

Almost surely, 2^52626609504 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 52626609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92929794048).

52626609504 is an abundant number, since it is smaller than the sum of its proper divisors (133232978592).

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

52626609504 is a wasteful number, since it uses less digits than its factorization.

52626609504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 52626609504 in words is "fifty-two billion, six hundred twenty-six million, six hundred nine thousand, five hundred four".