130058959680 has 672 divisors, whose sum is σ = 512872293024. Its totient is φ = 29967777792.

The previous prime is 130058959633. The next prime is 130058959711. The reversal of 130058959680 is 86959850031.

It is a happy number.

130058959680 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 589 + 59 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 27894344256 + 102164615424 = 167016^2 + 319632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148299402 + ... + 148300278.

It is an arithmetic number, because the mean of its divisors is an integer number (763202817).

Almost surely, 2^130058959680 is an apocalyptic number.

130058959680 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 130058959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256436146512).

130058959680 is an abundant number, since it is smaller than the sum of its proper divisors (382813333344).

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

130058959680 is a wasteful number, since it uses less digits than its factorization.

130058959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 130058959680 in words is "one hundred thirty billion, fifty-eight million, nine hundred fifty-nine thousand, six hundred eighty".