130005645210 has 192 divisors, whose sum is σ = 390616971264. Its totient is φ = 29384726400.

The previous prime is 130005645131. The next prime is 130005645223. The reversal of 130005645210 is 12546500031.

130005645210 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 5 + 645 + 2 + 10 = 666.

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, 46578915 + ... + 46581705.

It is an arithmetic number, because the mean of its divisors is an integer number (2034463392).

Almost surely, 2^130005645210 is an apocalyptic number.

130005645210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130005645210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195308485632).

130005645210 is an abundant number, since it is smaller than the sum of its proper divisors (260611326054).

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

130005645210 is a wasteful number, since it uses less digits than its factorization.

130005645210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 130005645210 in words is "one hundred thirty billion, five million, six hundred forty-five thousand, two hundred ten".