130018415788800 has 5184 divisors, whose sum is σ = 639509148794880. Its totient is φ = 24385536000000.

The previous prime is 130018415788783. The next prime is 130018415788801. The reversal of 130018415788800 is 8887514810031.

130018415788800 is a `hidden beast` number, since 1 + 300 + 184 + 1 + 5 + 7 + 88 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (130018415788801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 185475628450 + ... + 185475629150.

It is an arithmetic number, because the mean of its divisors is an integer number (123362104320).

Almost surely, 2^{130018415788800} is an apocalyptic number.

130018415788800 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 130018415788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319754574397440).

130018415788800 is an abundant number, since it is smaller than the sum of its proper divisors (509490733006080).

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

130018415788800 is a wasteful number, since it uses less digits than its factorization.

130018415788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 130018415788800 in words is "one hundred thirty trillion, eighteen billion, four hundred fifteen million, seven hundred eighty-eight thousand, eight hundred".