130367985808320 has 1344 divisors, whose sum is σ = 518644964597760. Its totient is φ = 29788972646400.

The previous prime is 130367985808289. The next prime is 130367985808327. The reversal of 130367985808320 is 23808589763031.

130367985808320 is a `hidden beast` number, since 1 + 30 + 367 + 98 + 5 + 80 + 83 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130367985808327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9103266760 + ... + 9103281080.

It is an arithmetic number, because the mean of its divisors is an integer number (385896551040).

Almost surely, 2^{130367985808320} is an apocalyptic number.

130367985808320 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 130367985808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259322482298880).

130367985808320 is an abundant number, since it is smaller than the sum of its proper divisors (388276978789440).

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

130367985808320 is a wasteful number, since it uses less digits than its factorization.

130367985808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14634 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 130367985808320 in words is "one hundred thirty trillion, three hundred sixty-seven billion, nine hundred eighty-five million, eight hundred eight thousand, three hundred twenty".