8130385718784 has 1280 divisors, whose sum is σ = 28896250521600. Its totient is φ = 2209405206528.

The previous prime is 8130385718779. The next prime is 8130385718857. The reversal of 8130385718784 is 4878175830318.

8130385718784 is a `hidden beast` number, since 8 + 1 + 30 + 385 + 71 + 87 + 84 = 666.

It is a super-2 number, since 2×8130385718784² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 29351572854 + ... + 29351573130.

It is an arithmetic number, because the mean of its divisors is an integer number (22575195720).

Almost surely, 2^{8130385718784} is an apocalyptic number.

8130385718784 is a gapful number since it is divisible by the number (84) 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 8130385718784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448125260800).

8130385718784 is an abundant number, since it is smaller than the sum of its proper divisors (20765864802816).

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

8130385718784 is a wasteful number, since it uses less digits than its factorization.

8130385718784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 8130385718784 in words is "eight trillion, one hundred thirty billion, three hundred eighty-five million, seven hundred eighteen thousand, seven hundred eighty-four".