8387005317120 has 680 divisors, whose sum is σ = 31653206101440. Its totient is φ = 2118694993920.

The previous prime is 8387005317113. The next prime is 8387005317137. The reversal of 8387005317120 is 217135007838.

8387005317120 is a `hidden beast` number, since 8 + 38 + 70 + 0 + 531 + 7 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 504291205 + ... + 504307835.

Almost surely, 2^{8387005317120} is an apocalyptic number.

8387005317120 is a gapful number since it is divisible by the number (80) 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 8387005317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826603050720).

8387005317120 is an abundant number, since it is smaller than the sum of its proper divisors (23266200784320).

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

8387005317120 is an equidigital number, since it uses as much as digits as its factorization.

8387005317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16699 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 8387005317120 in words is "eight trillion, three hundred eighty-seven billion, five million, three hundred seventeen thousand, one hundred twenty".