8992145576960 has 1584 divisors, whose sum is σ = 29586583393920. Its totient is φ = 2591834112000.

The previous prime is 8992145576927. The next prime is 8992145577001. The reversal of 8992145576960 is 696755412998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59550632885 + ... + 59550633035.

Almost surely, 2^{8992145576960} is an apocalyptic number.

8992145576960 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 8992145576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793291696960).

8992145576960 is an abundant number, since it is smaller than the sum of its proper divisors (20594437816960).

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

8992145576960 is a wasteful number, since it uses less digits than its factorization.

8992145576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 71.

The spelling of 8992145576960 in words is "eight trillion, nine hundred ninety-two billion, one hundred forty-five million, five hundred seventy-six thousand, nine hundred sixty".