130085709600 has 864 divisors, whose sum is σ = 540923878656. Its totient is φ = 26850969600.

The previous prime is 130085709587. The next prime is 130085709601. The reversal of 130085709600 is 6907580031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130085709601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293646979 + ... + 293647421.

It is an arithmetic number, because the mean of its divisors is an integer number (626069304).

Almost surely, 2^130085709600 is an apocalyptic number.

130085709600 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 130085709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270461939328).

130085709600 is an abundant number, since it is smaller than the sum of its proper divisors (410838169056).

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

130085709600 is a wasteful number, since it uses less digits than its factorization.

130085709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 130085709600 in words is "one hundred thirty billion, eighty-five million, seven hundred nine thousand, six hundred".