9005081553072 has 480 divisors, whose sum is σ = 29903521290240. Its totient is φ = 2499268608000.

The previous prime is 9005081553059. The next prime is 9005081553073. The reversal of 9005081553072 is 2703551805009.

9005081553072 is a `hidden beast` number, since 90 + 0 + 5 + 0 + 8 + 1 + 553 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (9005081553073) by changing a digit.

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, 1042129872 + ... + 1042138512.

It is an arithmetic number, because the mean of its divisors is an integer number (62299002688).

Almost surely, 2^{9005081553072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005081553072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951760645120).

9005081553072 is an abundant number, since it is smaller than the sum of its proper divisors (20898439737168).

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

9005081553072 is a wasteful number, since it uses less digits than its factorization.

9005081553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 9005081553072 in words is "nine trillion, five billion, eighty-one million, five hundred fifty-three thousand, seventy-two".