565456164780 has 384 divisors, whose sum is σ = 1838026245888. Its totient is φ = 128647692288.

The previous prime is 565456164761. The next prime is 565456164803. The reversal of 565456164780 is 87461654565.

It is a happy number.

565456164780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 565456164780.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248769724 + ... + 248771996.

It is an arithmetic number, because the mean of its divisors is an integer number (4786526682).

Almost surely, 2^565456164780 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 565456164780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919013122944).

565456164780 is an abundant number, since it is smaller than the sum of its proper divisors (1272570081108).

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

565456164780 is a wasteful number, since it uses less digits than its factorization.

565456164780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

It can be divided in two parts, 565456 and 164780, that added together give a triangular number (730236 = T₁₂₀₈).

The spelling of 565456164780 in words is "five hundred sixty-five billion, four hundred fifty-six million, one hundred sixty-four thousand, seven hundred eighty".