563142160545264 has 320 divisors, whose sum is σ = 1675873712515200. Its totient is φ = 180839651328000.

The previous prime is 563142160545259. The next prime is 563142160545271. The reversal of 563142160545264 is 462545061241365.

563142160545264 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 4 + 2 + 1 + 60 + 54 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 563142160545264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11028786294 + ... + 11028837354.

It is an arithmetic number, because the mean of its divisors is an integer number (5237105351610).

Almost surely, 2^{563142160545264} is an apocalyptic number.

563142160545264 is a gapful number since it is divisible by the number (54) 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 563142160545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837936856257600).

563142160545264 is an abundant number, since it is smaller than the sum of its proper divisors (1112731551969936).

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

563142160545264 is a wasteful number, since it uses less digits than its factorization.

563142160545264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53041 (or 53029 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 563142160545264 in words is "five hundred sixty-three trillion, one hundred forty-two billion, one hundred sixty million, five hundred forty-five thousand, two hundred sixty-four".