130910385600 has 420 divisors, whose sum is σ = 484223881944. Its totient is φ = 34689669120.

The previous prime is 130910385587. The next prime is 130910385607. The reversal of 130910385600 is 6583019031.

It is a happy number.

130910385600 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 10 + 38 + 5 + 600 = 666.

130910385600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130910385607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21121702 + ... + 21127898.

Almost surely, 2^130910385600 is an apocalyptic number.

130910385600 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 130910385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242111940972).

130910385600 is an abundant number, since it is smaller than the sum of its proper divisors (353313496344).

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

130910385600 is a wasteful number, since it uses less digits than its factorization.

130910385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 130910385600 in words is "one hundred thirty billion, nine hundred ten million, three hundred eighty-five thousand, six hundred".