52685458560 has 640 divisors, whose sum is σ = 219490128000. Its totient is φ = 12038326272.

The previous prime is 52685458559. The next prime is 52685458583. The reversal of 52685458560 is 6585458625.

It is a happy number.

52685458560 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 54 + 585 + 6 + 0 = 666.

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 junction number, because it is equal to n+sod(n) for n = 52685458497 and 52685458506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17779639 + ... + 17782601.

It is an arithmetic number, because the mean of its divisors is an integer number (342953325).

Almost surely, 2^52685458560 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 52685458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109745064000).

52685458560 is an abundant number, since it is smaller than the sum of its proper divisors (166804669440).

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

52685458560 is an equidigital number, since it uses as much as digits as its factorization.

52685458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 52685458560 in words is "fifty-two billion, six hundred eighty-five million, four hundred fifty-eight thousand, five hundred sixty".