9009121590 has 128 divisors (see below), whose sum is σ = 27541232640. Its totient is φ = 2052864000.

The previous prime is 9009121577. The next prime is 9009121591. The reversal of 9009121590 is 951219009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009121591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618390 + ... + 632790.

It is an arithmetic number, because the mean of its divisors is an integer number (215165880).

Almost surely, 2^9009121590 is an apocalyptic number.

9009121590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9009121590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770616320).

9009121590 is an abundant number, since it is smaller than the sum of its proper divisors (18532111050).

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

9009121590 is a wasteful number, since it uses less digits than its factorization.

9009121590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 9009121590 is about 94916.3926305672. The cubic root of 9009121590 is about 2080.7863143632.

The spelling of 9009121590 in words is "nine billion, nine million, one hundred twenty-one thousand, five hundred ninety".