52853306400576 has 448 divisors, whose sum is σ = 172210536960000. Its totient is φ = 15761770352640.

The previous prime is 52853306400563. The next prime is 52853306400577. The reversal of 52853306400576 is 67500460335825.

52853306400576 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 3 + 3 + 0 + 64 + 0 + 0 + 576 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52853306400577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460943700 + ... + 461058348.

It is an arithmetic number, because the mean of its divisors is an integer number (384398520000).

Almost surely, 2^{52853306400576} 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 52853306400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86105268480000).

52853306400576 is an abundant number, since it is smaller than the sum of its proper divisors (119357230559424).

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

52853306400576 is a wasteful number, since it uses less digits than its factorization.

52853306400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115067 (or 115051 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 52853306400576 in words is "fifty-two trillion, eight hundred fifty-three billion, three hundred six million, four hundred thousand, five hundred seventy-six".