9125213760 has 896 divisors, whose sum is σ = 37790323200. Its totient is φ = 2078244864.

The previous prime is 9125213753. The next prime is 9125213761. The reversal of 9125213760 is 673125219.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9125213761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154664611 + ... + 154664669.

It is an arithmetic number, because the mean of its divisors is an integer number (42176700).

Almost surely, 2^9125213760 is an apocalyptic number.

9125213760 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 9125213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895161600).

9125213760 is an abundant number, since it is smaller than the sum of its proper divisors (28665109440).

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

9125213760 is a wasteful number, since it uses less digits than its factorization.

9125213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9125213760 is about 95525.9847371384. The cubic root of 9125213760 is about 2089.6859154248.

Adding to 9125213760 its reverse (673125219), we get a palindrome (9798338979).

The spelling of 9125213760 in words is "nine billion, one hundred twenty-five million, two hundred thirteen thousand, seven hundred sixty".