52952816448 has 448 divisors, whose sum is σ = 181994373120. Its totient is φ = 14786095104.

The previous prime is 52952816447. The next prime is 52952816461. The reversal of 52952816448 is 84461825925.

52952816448 is a `hidden beast` number, since 52 + 9 + 528 + 1 + 64 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 52952816394 and 52952816403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52952816447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 180726190 + ... + 180726482.

It is an arithmetic number, because the mean of its divisors is an integer number (406237440).

Almost surely, 2^52952816448 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 52952816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90997186560).

52952816448 is an abundant number, since it is smaller than the sum of its proper divisors (129041556672).

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

52952816448 is a wasteful number, since it uses less digits than its factorization.

52952816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 52952816448 in words is "fifty-two billion, nine hundred fifty-two million, eight hundred sixteen thousand, four hundred forty-eight".