53572841828352 has 2496 divisors, whose sum is σ = 207422477982720. Its totient is φ = 13527224156160.

The previous prime is 53572841828327. The next prime is 53572841828353. The reversal of 53572841828352 is 25382814827535.

53572841828352 is a `hidden beast` number, since 5 + 3 + 57 + 284 + 182 + 83 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53572841828352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53572841828353) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 491493961674 + ... + 491493961782.

It is an arithmetic number, because the mean of its divisors is an integer number (83101954320).

Almost surely, 2^{53572841828352} 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 53572841828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103711238991360).

53572841828352 is an abundant number, since it is smaller than the sum of its proper divisors (153849636154368).

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

53572841828352 is an equidigital number, since it uses as much as digits as its factorization.

53572841828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 185 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 53572841828352 in words is "fifty-three trillion, five hundred seventy-two billion, eight hundred forty-one million, eight hundred twenty-eight thousand, three hundred fifty-two".