52725736448 has 528 divisors, whose sum is σ = 143016717312. Its totient is φ = 18977587200.

The previous prime is 52725736339. The next prime is 52725736457. The reversal of 52725736448 is 84463752725.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 52725736448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994825190 + ... + 994825242.

Almost surely, 2^52725736448 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 52725736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71508358656).

52725736448 is an abundant number, since it is smaller than the sum of its proper divisors (90290980864).

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

52725736448 is a wasteful number, since it uses less digits than its factorization.

52725736448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 53.

The spelling of 52725736448 in words is "fifty-two billion, seven hundred twenty-five million, seven hundred thirty-six thousand, four hundred forty-eight".