130359753216 has 1280 divisors, whose sum is σ = 514767052800. Its totient is φ = 31585075200.

The previous prime is 130359753197. The next prime is 130359753239. The reversal of 130359753216 is 612357953031.

130359753216 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 597 + 53 + 2 + 1 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1265628621 + ... + 1265628723.

It is an arithmetic number, because the mean of its divisors is an integer number (402161760).

Almost surely, 2^130359753216 is an apocalyptic number.

130359753216 is a gapful number since it is divisible by the number (16) 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 130359753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257383526400).

130359753216 is an abundant number, since it is smaller than the sum of its proper divisors (384407299584).

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

130359753216 is a wasteful number, since it uses less digits than its factorization.

130359753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 130359753216 in words is "one hundred thirty billion, three hundred fifty-nine million, seven hundred fifty-three thousand, two hundred sixteen".