9125891186280 has 512 divisors, whose sum is σ = 30649423749120. Its totient is φ = 2155184640000.

The previous prime is 9125891186267. The next prime is 9125891186311. The reversal of 9125891186280 is 826811985219.

It is a Cunningham number, because it is equal to 3020909²-1.

It is a super-3 number, since 3×9125891186280³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9153350742 + ... + 9153351738.

It is an arithmetic number, because the mean of its divisors is an integer number (59862155760).

Almost surely, 2^{9125891186280} 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 9125891186280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324711874560).

9125891186280 is an abundant number, since it is smaller than the sum of its proper divisors (21523532562840).

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

9125891186280 is a wasteful number, since it uses less digits than its factorization.

9125891186280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 60.

The spelling of 9125891186280 in words is "nine trillion, one hundred twenty-five billion, eight hundred ninety-one million, one hundred eighty-six thousand, two hundred eighty".