130017588480 has 1152 divisors, whose sum is σ = 545169139200. Its totient is φ = 29033496576.

The previous prime is 130017588469. The next prime is 130017588521. The reversal of 130017588480 is 84885710031.

It is a happy number.

130017588480 is a `hidden beast` number, since 13 + 0 + 0 + 17 + 588 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 221494747 + ... + 221495333.

It is an arithmetic number, because the mean of its divisors is an integer number (473237100).

Almost surely, 2^130017588480 is an apocalyptic number.

130017588480 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 130017588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272584569600).

130017588480 is an abundant number, since it is smaller than the sum of its proper divisors (415151550720).

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

130017588480 is a wasteful number, since it uses less digits than its factorization.

130017588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 130017588480 in words is "one hundred thirty billion, seventeen million, five hundred eighty-eight thousand, four hundred eighty".