9125389445760 has 640 divisors, whose sum is σ = 39204135907200. Its totient is φ = 1976022687744.

The previous prime is 9125389445749. The next prime is 9125389445761. The reversal of 9125389445760 is 675449835219.

9125389445760 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 38 + 94 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9125389445761) 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 79 ways as a sum of consecutive naturals, for example, 6232954 + ... + 7556486.

It is an arithmetic number, because the mean of its divisors is an integer number (61256462355).

It is a 1-persistent number, because it is pandigital, but 2⋅9125389445760 = 18250778891520 is not.

Almost surely, 2^{9125389445760} is an apocalyptic number.

9125389445760 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 9125389445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602067953600).

9125389445760 is an abundant number, since it is smaller than the sum of its proper divisors (30078746461440).

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

9125389445760 is a wasteful number, since it uses less digits than its factorization.

9125389445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323590 (or 1323569 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 9125389445760 in words is "nine trillion, one hundred twenty-five billion, three hundred eighty-nine million, four hundred forty-five thousand, seven hundred sixty".