9598560206400 has 504 divisors, whose sum is σ = 38417529715968. Its totient is φ = 2251860480000.

The previous prime is 9598560206381. The next prime is 9598560206413. The reversal of 9598560206400 is 46020658959.

It is a happy number.

9598560206400 is a `hidden beast` number, since 9 + 59 + 8 + 560 + 20 + 6 + 4 + 0 + 0 = 666.

9598560206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9598560206400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3933030 + ... + 5887770.

Almost surely, 2^{9598560206400} is an apocalyptic number.

9598560206400 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 9598560206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208764857984).

9598560206400 is an abundant number, since it is smaller than the sum of its proper divisors (28818969509568).

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

9598560206400 is a wasteful number, since it uses less digits than its factorization.

9598560206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954811 (or 1954793 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 9598560206400 in words is "nine trillion, five hundred ninety-eight billion, five hundred sixty million, two hundred six thousand, four hundred".