130082410080 has 768 divisors, whose sum is σ = 549893836800. Its totient is φ = 28428060672.

The previous prime is 130082410067. The next prime is 130082410093. The reversal of 130082410080 is 80014280031.

It is an interprime number because it is at equal distance from previous prime (130082410067) and next prime (130082410093).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56335966 + ... + 56338274.

It is an arithmetic number, because the mean of its divisors is an integer number (716007600).

Almost surely, 2^130082410080 is an apocalyptic number.

130082410080 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 130082410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274946918400).

130082410080 is an abundant number, since it is smaller than the sum of its proper divisors (419811426720).

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

130082410080 is an equidigital number, since it uses as much as digits as its factorization.

130082410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 130082410080 in words is "one hundred thirty billion, eighty-two million, four hundred ten thousand, eighty".