130505712723360 has 960 divisors, whose sum is σ = 497935994371200. Its totient is φ = 31999708274688.

The previous prime is 130505712723359. The next prime is 130505712723371. The reversal of 130505712723360 is 63327217505031.

130505712723360 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 0 + 571 + 2 + 72 + 3 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78287769247 + ... + 78287770913.

It is an arithmetic number, because the mean of its divisors is an integer number (518683327470).

Almost surely, 2^{130505712723360} is an apocalyptic number.

130505712723360 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 130505712723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248967997185600).

130505712723360 is an abundant number, since it is smaller than the sum of its proper divisors (367430281647840).

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

130505712723360 is a wasteful number, since it uses less digits than its factorization.

130505712723360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 130505712723360 in words is "one hundred thirty trillion, five hundred five billion, seven hundred twelve million, seven hundred twenty-three thousand, three hundred sixty".