52526946528 has 576 divisors, whose sum is σ = 191456939520. Its totient is φ = 13669834752.

The previous prime is 52526946497. The next prime is 52526946557. The reversal of 52526946528 is 82564962525.

It is a happy number.

52526946528 is a `hidden beast` number, since 5 + 2 + 5 + 26 + 94 + 6 + 528 = 666.

It is a super-2 number, since 2×52526946528² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481898538 + ... + 481898646.

It is an arithmetic number, because the mean of its divisors is an integer number (332390520).

Almost surely, 2^52526946528 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 52526946528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95728469760).

52526946528 is an abundant number, since it is smaller than the sum of its proper divisors (138929992992).

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

52526946528 is a wasteful number, since it uses less digits than its factorization.

52526946528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 181 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 52526946528 in words is "fifty-two billion, five hundred twenty-six million, nine hundred forty-six thousand, five hundred twenty-eight".