565404956445952 has 576 divisors, whose sum is σ = 1396433001600000. Its totient is φ = 222994240634880.

The previous prime is 565404956445947. The next prime is 565404956446013. The reversal of 565404956445952 is 259544659404565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348800095702 + ... + 348800097322.

It is an arithmetic number, because the mean of its divisors is an integer number (2424362850000).

Almost surely, 2^{565404956445952} 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 565404956445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698216500800000).

565404956445952 is an abundant number, since it is smaller than the sum of its proper divisors (831028045154048).

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

565404956445952 is a wasteful number, since it uses less digits than its factorization.

565404956445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 4665600000, while the sum is 73.

The spelling of 565404956445952 in words is "five hundred sixty-five trillion, four hundred four billion, nine hundred fifty-six million, four hundred forty-five thousand, nine hundred fifty-two".