52928053168032 has 216 divisors, whose sum is σ = 175103429584356. Its totient is φ = 15120958777344.

The previous prime is 52928053168031. The next prime is 52928053168033. The reversal of 52928053168032 is 23086135082925.

It is a happy number.

52928053168032 is a `hidden beast` number, since 5 + 2 + 9 + 28 + 0 + 531 + 6 + 80 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (52928053168031) and next prime (52928053168033).

It can be written as a sum of positive squares in 2 ways, for example, as 51797327185296 + 1130725982736 = 7197036^2 + 1063356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52928053168032.

It is not an unprimeable number, because it can be changed into a prime (52928053168031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164625228 + ... + 164946420.

Almost surely, 2^{52928053168032} 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 52928053168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87551714792178).

52928053168032 is an abundant number, since it is smaller than the sum of its proper divisors (122175376416324).

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

52928053168032 is a wasteful number, since it uses less digits than its factorization.

52928053168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332900 (or 332882 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 52928053168032 in words is "fifty-two trillion, nine hundred twenty-eight billion, fifty-three million, one hundred sixty-eight thousand, thirty-two".