8999141760 has 768 divisors, whose sum is σ = 39639974400. Its totient is φ = 1831403520.

The previous prime is 8999141737. The next prime is 8999141761. The reversal of 8999141760 is 671419998.

8999141760 is a `hidden beast` number, since 89 + 9 + 91 + 417 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8999141697 and 8999141706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8999141761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023015 + ... + 13023705.

It is an arithmetic number, because the mean of its divisors is an integer number (51614550).

Almost surely, 2^8999141760 is an apocalyptic number.

8999141760 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 8999141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819987200).

8999141760 is an abundant number, since it is smaller than the sum of its proper divisors (30640832640).

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

8999141760 is a wasteful number, since it uses less digits than its factorization.

8999141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 8999141760 is about 94863.8063752451. The cubic root of 8999141760 is about 2080.0177020190.

It can be divided in two parts, 89 and 99141760, that added together give a square (99141849 = 9957²).

The spelling of 8999141760 in words is "eight billion, nine hundred ninety-nine million, one hundred forty-one thousand, seven hundred sixty".