52858328961024 has 312 divisors, whose sum is σ = 157993354757160. Its totient is φ = 17007006449664.

The previous prime is 52858328960989. The next prime is 52858328961127. The reversal of 52858328961024 is 42016982385825.

It is a happy number.

52858328961024 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 8 + 3 + 2 + 8 + 9 + 610 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13490635161600 + 39367693799424 = 3672960^2 + 6274368^2 .

It is a super-2 number, since 2×52858328961024² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6710460574 + ... + 6710468450.

It is an arithmetic number, because the mean of its divisors is an integer number (506388957555).

Almost surely, 2^{52858328961024} 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 52858328961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78996677378580).

52858328961024 is an abundant number, since it is smaller than the sum of its proper divisors (105135025796136).

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

52858328961024 is a wasteful number, since it uses less digits than its factorization.

52858328961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 52858328961024 in words is "fifty-two trillion, eight hundred fifty-eight billion, three hundred twenty-eight million, nine hundred sixty-one thousand, twenty-four".