565953128160 has 768 divisors, whose sum is σ = 2213422848000. Its totient is φ = 121082314752.

The previous prime is 565953128137. The next prime is 565953128173. The reversal of 565953128160 is 61821359565.

565953128160 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 Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 640943079 + ... + 640943961.

It is an arithmetic number, because the mean of its divisors is an integer number (2882061000).

Almost surely, 2^565953128160 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 565953128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106711424000).

565953128160 is an abundant number, since it is smaller than the sum of its proper divisors (1647469719840).

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

565953128160 is a wasteful number, since it uses less digits than its factorization.

565953128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 565953128160 in words is "five hundred sixty-five billion, nine hundred fifty-three million, one hundred twenty-eight thousand, one hundred sixty".