52825426560 has 320 divisors, whose sum is σ = 190032242400. Its totient is φ = 13983528960.

The previous prime is 52825426559. The next prime is 52825426597. The reversal of 52825426560 is 6562452825.

It is a happy number.

52825426560 is a `hidden beast` number, since 5 + 2 + 82 + 5 + 4 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 7202095 + ... + 7209425.

Almost surely, 2^52825426560 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 52825426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95016121200).

52825426560 is an abundant number, since it is smaller than the sum of its proper divisors (137206815840).

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

52825426560 is a wasteful number, since it uses less digits than its factorization.

52825426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 52825426560 in words is "fifty-two billion, eight hundred twenty-five million, four hundred twenty-six thousand, five hundred sixty".