9085896948240 has 480 divisors, whose sum is σ = 36328612320000. Its totient is φ = 1991779614720.

The previous prime is 9085896948229. The next prime is 9085896948257. The reversal of 9085896948240 is 428496985809.

9085896948240 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 89 + 69 + 482 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11819136 + ... + 12564384.

It is an arithmetic number, because the mean of its divisors is an integer number (75684609000).

Almost surely, 2^{9085896948240} is an apocalyptic number.

9085896948240 is a gapful number since it is divisible by the number (90) 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 9085896948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164306160000).

9085896948240 is an abundant number, since it is smaller than the sum of its proper divisors (27242715371760).

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

9085896948240 is a wasteful number, since it uses less digits than its factorization.

9085896948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745375 (or 745366 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 9085896948240 in words is "nine trillion, eighty-five billion, eight hundred ninety-six million, nine hundred forty-eight thousand, two hundred forty".