130095271680 has 576 divisors, whose sum is σ = 500856265728. Its totient is φ = 28388884480.

The previous prime is 130095271609. The next prime is 130095271681. The reversal of 130095271680 is 86172590031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130095271681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16511902 + ... + 16519778.

It is an arithmetic number, because the mean of its divisors is an integer number (869542128).

Almost surely, 2^130095271680 is an apocalyptic number.

130095271680 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 130095271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250428132864).

130095271680 is an abundant number, since it is smaller than the sum of its proper divisors (370760994048).

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

130095271680 is a wasteful number, since it uses less digits than its factorization.

130095271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 130095271680 in words is "one hundred thirty billion, ninety-five million, two hundred seventy-one thousand, six hundred eighty".