9053123040 has 288 divisors, whose sum is σ = 35022667680. Its totient is φ = 2111090688.

The previous prime is 9053123011. The next prime is 9053123041. The reversal of 9053123040 is 403213509.

9053123040 is a `hidden beast` number, since 90 + 531 + 2 + 3 + 0 + 40 = 666.

9053123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 9053122995 and 9053123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342954 + ... + 368406.

It is an arithmetic number, because the mean of its divisors is an integer number (121606485).

Almost surely, 2^9053123040 is an apocalyptic number.

9053123040 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 9053123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511333840).

9053123040 is an abundant number, since it is smaller than the sum of its proper divisors (25969544640).

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

9053123040 is a wasteful number, since it uses less digits than its factorization.

9053123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25506 (or 25495 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9053123040 is about 95147.9008701716. The cubic root of 9053123040 is about 2084.1684035918.

Adding to 9053123040 its reverse (403213509), we get a palindrome (9456336549).

The spelling of 9053123040 in words is "nine billion, fifty-three million, one hundred twenty-three thousand, forty".