130563176288160 has 768 divisors, whose sum is σ = 543333834989568. Its totient is φ = 25514636083200.

The previous prime is 130563176288159. The next prime is 130563176288161. The reversal of 130563176288160 is 61882671365031.

It is an interprime number because it is at equal distance from previous prime (130563176288159) and next prime (130563176288161).

It is a self number, because there is not a number n which added to its sum of digits gives 130563176288160.

It is not an unprimeable number, because it can be changed into a prime (130563176288161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 829932069 + ... + 830089371.

It is an arithmetic number, because the mean of its divisors is an integer number (707465930976).

Almost surely, 2^{130563176288160} is an apocalyptic number.

130563176288160 is a gapful number since it is divisible by the number (10) 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 130563176288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271666917494784).

130563176288160 is an abundant number, since it is smaller than the sum of its proper divisors (412770658701408).

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

130563176288160 is a wasteful number, since it uses less digits than its factorization.

130563176288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158677 (or 158669 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 130563176288160 in words is "one hundred thirty trillion, five hundred sixty-three billion, one hundred seventy-six million, two hundred eighty-eight thousand, one hundred sixty".