52518560640 has 768 divisors, whose sum is σ = 218948728320. Its totient is φ = 10593386496.

The previous prime is 52518560603. The next prime is 52518560651. The reversal of 52518560640 is 4606581525.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 52518560592 and 52518560601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28128987 + ... + 28130853.

It is an arithmetic number, because the mean of its divisors is an integer number (285089490).

Almost surely, 2^52518560640 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 52518560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109474364160).

52518560640 is an abundant number, since it is smaller than the sum of its proper divisors (166430167680).

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

52518560640 is a wasteful number, since it uses less digits than its factorization.

52518560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 52518560640 in words is "fifty-two billion, five hundred eighteen million, five hundred sixty thousand, six hundred forty".