565482412120800 has 144 divisors (see below), whose sum is σ = 1841119552650672. Its totient is φ = 150756452659200.

The previous prime is 565482412120771. The next prime is 565482412120817. The reversal of 565482412120800 is 8021214284565.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 565482412120800.

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 23 ways as a sum of consecutive naturals, for example, 21040879 + ... + 39669678.

It is an arithmetic number, because the mean of its divisors is an integer number (12785552448963).

Almost surely, 2^{565482412120800} is an apocalyptic number.

565482412120800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

565482412120800 is an abundant number, since it is smaller than the sum of its proper divisors (1275637140529872).

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

565482412120800 is a wasteful number, since it uses less digits than its factorization.

565482412120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60714461 (or 60714448 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 565482412120800 in words is "five hundred sixty-five trillion, four hundred eighty-two billion, four hundred twelve million, one hundred twenty thousand, eight hundred".