8665811313120 has 768 divisors, whose sum is σ = 33494129786880. Its totient is φ = 2079534809088.

The previous prime is 8665811313119. The next prime is 8665811313151. The reversal of 8665811313120 is 213131185668.

8665811313120 is a `hidden beast` number, since 8 + 6 + 6 + 581 + 1 + 31 + 31 + 2 + 0 = 666.

It is a super-3 number, since 3×8665811313120³ (a number of 40 digits) contains 333 as substring.

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

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, 364971969 + ... + 364995711.

It is an arithmetic number, because the mean of its divisors is an integer number (43612148160).

Almost surely, 2^{8665811313120} is an apocalyptic number.

8665811313120 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 8665811313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747064893440).

8665811313120 is an abundant number, since it is smaller than the sum of its proper divisors (24828318473760).

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

8665811313120 is a wasteful number, since it uses less digits than its factorization.

8665811313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23944 (or 23930 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

Adding to 8665811313120 its reverse (213131185668), we get a palindrome (8878942498788).

The spelling of 8665811313120 in words is "eight trillion, six hundred sixty-five billion, eight hundred eleven million, three hundred thirteen thousand, one hundred twenty".