130288600672580 has 96 divisors (see below), whose sum is σ = 323612410464000. Its totient is φ = 43111717673472.

The previous prime is 130288600672553. The next prime is 130288600672583. The reversal of 130288600672580 is 85276006882031.

It is a happy number.

130288600672580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130288600672583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2761871 + ... + 16376969.

It is an arithmetic number, because the mean of its divisors is an integer number (3370962609000).

Almost surely, 2^{130288600672580} is an apocalyptic number.

130288600672580 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 130288600672580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161806205232000).

130288600672580 is an abundant number, since it is smaller than the sum of its proper divisors (193323809791420).

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

130288600672580 is a wasteful number, since it uses less digits than its factorization.

130288600672580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617501 (or 13617499 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 130288600672580 in words is "one hundred thirty trillion, two hundred eighty-eight billion, six hundred million, six hundred seventy-two thousand, five hundred eighty".