8505984614400 has 1632 divisors, whose sum is σ = 38481438974720. Its totient is φ = 1793819934720.

The previous prime is 8505984614339. The next prime is 8505984614419. The reversal of 8505984614400 is 44164895058.

8505984614400 is a `hidden beast` number, since 8 + 5 + 0 + 598 + 4 + 6 + 1 + 4 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4025547744 + ... + 4025549856.

Almost surely, 2^{8505984614400} is an apocalyptic number.

8505984614400 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 8505984614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240719487360).

8505984614400 is an abundant number, since it is smaller than the sum of its proper divisors (29975454360320).

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

8505984614400 is a wasteful number, since it uses less digits than its factorization.

8505984614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2143 counting only the distinct ones).

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

The spelling of 8505984614400 in words is "eight trillion, five hundred five billion, nine hundred eighty-four million, six hundred fourteen thousand, four hundred".