130405728600 has 576 divisors, whose sum is σ = 550031760000. Its totient is φ = 28237144320.

The previous prime is 130405728571. The next prime is 130405728643. The reversal of 130405728600 is 6827504031.

130405728600 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 572 + 86 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5014431 + ... + 5040369.

It is an arithmetic number, because the mean of its divisors is an integer number (954916250).

Almost surely, 2^130405728600 is an apocalyptic number.

130405728600 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 130405728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275015880000).

130405728600 is an abundant number, since it is smaller than the sum of its proper divisors (419626031400).

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

130405728600 is a wasteful number, since it uses less digits than its factorization.

130405728600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25975 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 130405728600 in words is "one hundred thirty billion, four hundred five million, seven hundred twenty-eight thousand, six hundred".