560163132144 has 600 divisors, whose sum is σ = 2113128130608. Its totient is φ = 141558036480.

The previous prime is 560163132127. The next prime is 560163132197. The reversal of 560163132144 is 441231361065.

560163132144 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 631 + 3 + 2 + 14 + 4 = 666.

It is a super-2 number, since 2×560163132144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560163132099 and 560163132108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25835292 + ... + 25856964.

Almost surely, 2^560163132144 is an apocalyptic number.

560163132144 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 560163132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056564065304).

560163132144 is an abundant number, since it is smaller than the sum of its proper divisors (1552964998464).

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

560163132144 is a wasteful number, since it uses less digits than its factorization.

560163132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21755 (or 21733 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 560163132144 in words is "five hundred sixty billion, one hundred sixty-three million, one hundred thirty-two thousand, one hundred forty-four".