52408512567552 has 144 divisors (see below), whose sum is σ = 140315822599680. Its totient is φ = 17365438611456.

The previous prime is 52408512567529. The next prime is 52408512567559. The reversal of 52408512567552 is 25576521580425.

It is a junction number, because it is equal to n+sod(n) for n = 52408512567492 and 52408512567501.

It is not an unprimeable number, because it can be changed into a prime (52408512567559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115719724 + ... + 116171732.

It is an arithmetic number, because the mean of its divisors is an integer number (974415434720).

Almost surely, 2^{52408512567552} 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 52408512567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70157911299840).

52408512567552 is an abundant number, since it is smaller than the sum of its proper divisors (87907310032128).

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

52408512567552 is a wasteful number, since it uses less digits than its factorization.

52408512567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452928 (or 452914 counting only the distinct ones).

The product of its (nonzero) digits is 33600000, while the sum is 57.

The spelling of 52408512567552 in words is "fifty-two trillion, four hundred eight billion, five hundred twelve million, five hundred sixty-seven thousand, five hundred fifty-two".