8665125880320 has 3360 divisors, whose sum is σ = 40280859078768. Its totient is φ = 1769804660736.

The previous prime is 8665125880277. The next prime is 8665125880363. The reversal of 8665125880320 is 230885215668.

8665125880320 is a `hidden beast` number, since 8 + 6 + 6 + 51 + 2 + 588 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8665125880277) and next prime (8665125880363).

It can be written as a sum of positive squares in 8 ways, for example, as 6653675798784 + 2011450081536 = 2579472^2 + 1418256^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 43985410462 + ... + 43985410658.

Almost surely, 2^{8665125880320} is an apocalyptic number.

8665125880320 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 8665125880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140429539384).

8665125880320 is an abundant number, since it is smaller than the sum of its proper divisors (31615733198448).

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

8665125880320 is a wasteful number, since it uses less digits than its factorization.

8665125880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8665125880320 in words is "eight trillion, six hundred sixty-five billion, one hundred twenty-five million, eight hundred eighty thousand, three hundred twenty".