9135577920 has 224 divisors, whose sum is σ = 34590947328. Its totient is φ = 1997309952.

The previous prime is 9135577889. The next prime is 9135577921. The reversal of 9135577920 is 297755319.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9135577920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9135577921) 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, 125007 + ... + 184113.

It is an arithmetic number, because the mean of its divisors is an integer number (154423872).

Almost surely, 2^9135577920 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 9135577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295473664).

9135577920 is an abundant number, since it is smaller than the sum of its proper divisors (25455369408).

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

9135577920 is a wasteful number, since it uses less digits than its factorization.

9135577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59157 (or 59147 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 9135577920 is about 95580.2172000043. The cubic root of 9135577920 is about 2090.4767515068.

The spelling of 9135577920 in words is "nine billion, one hundred thirty-five million, five hundred seventy-seven thousand, nine hundred twenty".