9001084590720 has 1280 divisors, whose sum is σ = 34737085262880. Its totient is φ = 2212972462080.

The previous prime is 9001084590697. The next prime is 9001084590727. The reversal of 9001084590720 is 270954801009.

9001084590720 is a `hidden beast` number, since 90 + 0 + 108 + 459 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 93151923264 + 8907932667456 = 305208^2 + 2984616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9001084590727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11644352254 + ... + 11644353026.

Almost surely, 2^{9001084590720} is an apocalyptic number.

9001084590720 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 9001084590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368542631440).

9001084590720 is an abundant number, since it is smaller than the sum of its proper divisors (25736000672160).

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

9001084590720 is a wasteful number, since it uses less digits than its factorization.

9001084590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 9001084590720 in words is "nine trillion, one billion, eighty-four million, five hundred ninety thousand, seven hundred twenty".