8999817361920 has 3360 divisors, whose sum is σ = 42951565388160. Its totient is φ = 1784185159680.

The previous prime is 8999817361877. The next prime is 8999817361937. The reversal of 8999817361920 is 291637189998.

8999817361920 is a `hidden beast` number, since 8 + 99 + 98 + 1 + 7 + 361 + 92 + 0 = 666.

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 (72).

It is a congruent number.

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, 23135777086 + ... + 23135777474.

Almost surely, 2^{8999817361920} is an apocalyptic number.

8999817361920 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 8999817361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475782694080).

8999817361920 is an abundant number, since it is smaller than the sum of its proper divisors (33951748026240).

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

8999817361920 is a wasteful number, since it uses less digits than its factorization.

8999817361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 8999817361920 in words is "eight trillion, nine hundred ninety-nine billion, eight hundred seventeen million, three hundred sixty-one thousand, nine hundred twenty".