9125665920 has 768 divisors, whose sum is σ = 38188800000. Its totient is φ = 2005032960.

The previous prime is 9125665919. The next prime is 9125665921. The reversal of 9125665920 is 295665219.

It is a happy number.

9125665920 is a `hidden beast` number, since 9 + 1 + 2 + 56 + 6 + 592 + 0 = 666.

9125665920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9125665919) and next prime (9125665921).

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 (9125665921) 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 95 ways as a sum of consecutive naturals, for example, 61246006 + ... + 61246154.

It is an arithmetic number, because the mean of its divisors is an integer number (49725000).

Almost surely, 2^9125665920 is an apocalyptic number.

9125665920 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 9125665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400000).

9125665920 is an abundant number, since it is smaller than the sum of its proper divisors (29063134080).

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

9125665920 is a wasteful number, since it uses less digits than its factorization.

9125665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9125665920 is about 95528.3513937093. The cubic root of 9125665920 is about 2089.7204299323.

The spelling of 9125665920 in words is "nine billion, one hundred twenty-five million, six hundred sixty-five thousand, nine hundred twenty".