52609668480 has 640 divisors, whose sum is σ = 204265036800. Its totient is φ = 12854661120.

The previous prime is 52609668479. The next prime is 52609668487. The reversal of 52609668480 is 8486690625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 (52609668487) 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 79 ways as a sum of consecutive naturals, for example, 30532899 + ... + 30534621.

It is an arithmetic number, because the mean of its divisors is an integer number (319164120).

Almost surely, 2^52609668480 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 52609668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102132518400).

52609668480 is an abundant number, since it is smaller than the sum of its proper divisors (151655368320).

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

52609668480 is a wasteful number, since it uses less digits than its factorization.

52609668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 52609668480 in words is "fifty-two billion, six hundred nine million, six hundred sixty-eight thousand, four hundred eighty".