565263172320 has 384 divisors, whose sum is σ = 2336784629760. Its totient is φ = 111275182080.

The previous prime is 565263172319. The next prime is 565263172333. The reversal of 565263172320 is 23271362565.

It is a super-3 number, since 3×565263172320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299769 + ... + 1104711.

It is an arithmetic number, because the mean of its divisors is an integer number (6085376640).

Almost surely, 2^565263172320 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 565263172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168392314880).

565263172320 is an abundant number, since it is smaller than the sum of its proper divisors (1771521457440).

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

565263172320 is a wasteful number, since it uses less digits than its factorization.

565263172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804998 (or 804990 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 565263172320 in words is "five hundred sixty-five billion, two hundred sixty-three million, one hundred seventy-two thousand, three hundred twenty".