565080398400 has 1344 divisors, whose sum is σ = 2343907123200. Its totient is φ = 116294123520.

The previous prime is 565080398383. The next prime is 565080398401. The reversal of 565080398400 is 4893080565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 565080398400.

It is not an unprimeable number, because it can be changed into a prime (565080398401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1110177346 + ... + 1110177854.

Almost surely, 2^565080398400 is an apocalyptic number.

565080398400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565080398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171953561600).

565080398400 is an abundant number, since it is smaller than the sum of its proper divisors (1778826724800).

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

565080398400 is a wasteful number, since it uses less digits than its factorization.

565080398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 565080398400 in words is "five hundred sixty-five billion, eighty million, three hundred ninety-eight thousand, four hundred".