130430074521600 has 2880 divisors, whose sum is σ = 589459752161280. Its totient is φ = 27824593305600.

The previous prime is 130430074521587. The next prime is 130430074521619. The reversal of 130430074521600 is 6125470034031.

130430074521600 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 0 + 0 + 7 + 45 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62676632560 + ... + 62676634640.

It is an arithmetic number, because the mean of its divisors is an integer number (204673525056).

Almost surely, 2^{130430074521600} is an apocalyptic number.

130430074521600 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 130430074521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294729876080640).

130430074521600 is an abundant number, since it is smaller than the sum of its proper divisors (459029677639680).

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

130430074521600 is a wasteful number, since it uses less digits than its factorization.

130430074521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 130430074521600 in words is "one hundred thirty trillion, four hundred thirty billion, seventy-four million, five hundred twenty-one thousand, six hundred".