9011838720 has 288 divisors, whose sum is σ = 30742806528. Its totient is φ = 2241921024.

The previous prime is 9011838713. The next prime is 9011838727. The reversal of 9011838720 is 278381109.

It is an interprime number because it is at equal distance from previous prime (9011838713) and next prime (9011838727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9011838727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8290017 + ... + 8291103.

It is an arithmetic number, because the mean of its divisors is an integer number (106745856).

Almost surely, 2^9011838720 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 9011838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371403264).

9011838720 is an abundant number, since it is smaller than the sum of its proper divisors (21730967808).

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

9011838720 is a wasteful number, since it uses less digits than its factorization.

9011838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 9011838720 is about 94930.7048325251. The cubic root of 9011838720 is about 2080.9954800985.

The spelling of 9011838720 in words is "nine billion, eleven million, eight hundred thirty-eight thousand, seven hundred twenty".