9130888039680 has 2592 divisors, whose sum is σ = 38849420413440. Its totient is φ = 1957465128960.

The previous prime is 9130888039649. The next prime is 9130888039681. The reversal of 9130888039680 is 869308880319.

9130888039680 is a `hidden beast` number, since 9 + 13 + 0 + 88 + 80 + 396 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130888039681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85335402187 + ... + 85335402293.

It is an arithmetic number, because the mean of its divisors is an integer number (14988202320).

Almost surely, 2^{9130888039680} is an apocalyptic number.

9130888039680 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 9130888039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424710206720).

9130888039680 is an abundant number, since it is smaller than the sum of its proper divisors (29718532373760).

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

9130888039680 is a wasteful number, since it uses less digits than its factorization.

9130888039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 9130888039680 in words is "nine trillion, one hundred thirty billion, eight hundred eighty-eight million, thirty-nine thousand, six hundred eighty".