8872009286400 has 2592 divisors, whose sum is σ = 37663399388160. Its totient is φ = 1972371456000.

The previous prime is 8872009286389. The next prime is 8872009286411. The reversal of 8872009286400 is 46829002788.

8872009286400 is a `hidden beast` number, since 8 + 8 + 7 + 200 + 9 + 28 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (8872009286389) and next prime (8872009286411).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46450310305 + ... + 46450310495.

It is an arithmetic number, because the mean of its divisors is an integer number (14530632480).

Almost surely, 2^{8872009286400} is an apocalyptic number.

8872009286400 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 8872009286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831699694080).

8872009286400 is an abundant number, since it is smaller than the sum of its proper divisors (28791390101760).

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

8872009286400 is a wasteful number, since it uses less digits than its factorization.

8872009286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8872009286400 in words is "eight trillion, eight hundred seventy-two billion, nine million, two hundred eighty-six thousand, four hundred".