52688564760 has 256 divisors, whose sum is σ = 172974735360. Its totient is φ = 12761579520.

The previous prime is 52688564741. The next prime is 52688564779. The reversal of 52688564760 is 6746588625.

It is an interprime number because it is at equal distance from previous prime (52688564741) and next prime (52688564779).

It is a self number, because there is not a number n which added to its sum of digits gives 52688564760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28901209 + ... + 28903031.

It is an arithmetic number, because the mean of its divisors is an integer number (675682560).

Almost surely, 2^52688564760 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 52688564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86487367680).

52688564760 is an abundant number, since it is smaller than the sum of its proper divisors (120286170600).

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

52688564760 is a wasteful number, since it uses less digits than its factorization.

52688564760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 52688564760 in words is "fifty-two billion, six hundred eighty-eight million, five hundred sixty-four thousand, seven hundred sixty".