130413604860 has 864 divisors, whose sum is σ = 532410278400. Its totient is φ = 25479982080.

The previous prime is 130413604799. The next prime is 130413604861. The reversal of 130413604860 is 68406314031.

It is a happy number.

130413604860 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 3 + 604 + 8 + 6 + 0 = 666.

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 (130413604861) 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 287 ways as a sum of consecutive naturals, for example, 484808806 + ... + 484809074.

It is an arithmetic number, because the mean of its divisors is an integer number (616215600).

Almost surely, 2^130413604860 is an apocalyptic number.

130413604860 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 130413604860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266205139200).

130413604860 is an abundant number, since it is smaller than the sum of its proper divisors (401996673540).

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

130413604860 is a wasteful number, since it uses less digits than its factorization.

130413604860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 130413604860 its reverse (68406314031), we get a palindrome (198819918891).

The spelling of 130413604860 in words is "one hundred thirty billion, four hundred thirteen million, six hundred four thousand, eight hundred sixty".