9598915160640 has 1008 divisors, whose sum is σ = 37157961924720. Its totient is φ = 2361674465280.

The previous prime is 9598915160621. The next prime is 9598915160671. The reversal of 9598915160640 is 460615198959.

9598915160640 is a `hidden beast` number, since 9 + 5 + 9 + 8 + 9 + 15 + 1 + 606 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7706353665024 + 1892561495616 = 2776032^2 + 1375704^2 .

It is a super-2 number, since 2×9598915160640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4612644400 + ... + 4612646480.

It is an arithmetic number, because the mean of its divisors is an integer number (36863057465).

Almost surely, 2^{9598915160640} is an apocalyptic number.

9598915160640 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 9598915160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578980962360).

9598915160640 is an abundant number, since it is smaller than the sum of its proper divisors (27559046764080).

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

9598915160640 is an frugal number, since it uses more digits than its factorization.

9598915160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 9598915160640 in words is "nine trillion, five hundred ninety-eight billion, nine hundred fifteen million, one hundred sixty thousand, six hundred forty".