130345321265280 has 1536 divisors, whose sum is σ = 502227019008000. Its totient is φ = 30888104755200.

The previous prime is 130345321265251. The next prime is 130345321265297. The reversal of 130345321265280 is 82562123543031.

130345321265280 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 45 + 321 + 2 + 6 + 5 + 280 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265469085835 + ... + 265469086325.

It is an arithmetic number, because the mean of its divisors is an integer number (326970715500).

Almost surely, 2^{130345321265280} is an apocalyptic number.

130345321265280 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 130345321265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251113509504000).

130345321265280 is an abundant number, since it is smaller than the sum of its proper divisors (371881697742720).

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

130345321265280 is a wasteful number, since it uses less digits than its factorization.

130345321265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 130345321265280 in words is "one hundred thirty trillion, three hundred forty-five billion, three hundred twenty-one million, two hundred sixty-five thousand, two hundred eighty".