130540568820 has 96 divisors (see below), whose sum is σ = 369462038400. Its totient is φ = 34435129344.

The previous prime is 130540568819. The next prime is 130540568827. The reversal of 130540568820 is 28865045031.

130540568820 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130540568827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15878671 + ... + 15886889.

It is an arithmetic number, because the mean of its divisors is an integer number (3848562900).

Almost surely, 2^130540568820 is an apocalyptic number.

130540568820 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 130540568820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184731019200).

130540568820 is an abundant number, since it is smaller than the sum of its proper divisors (238921469580).

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

130540568820 is a wasteful number, since it uses less digits than its factorization.

130540568820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 130540568820 in words is "one hundred thirty billion, five hundred forty million, five hundred sixty-eight thousand, eight hundred twenty".