9597506564100 has 1152 divisors, whose sum is σ = 36025916416000. Its totient is φ = 1958768179200.

The previous prime is 9597506564059. The next prime is 9597506564117. The reversal of 9597506564100 is 14656057959.

It is a super-2 number, since 2×9597506564100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 10443423441 + ... + 10443424359.

Almost surely, 2^{9597506564100} 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 9597506564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012958208000).

9597506564100 is an abundant number, since it is smaller than the sum of its proper divisors (26428409851900).

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

9597506564100 is a wasteful number, since it uses less digits than its factorization.

9597506564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 9597506564100 in words is "nine trillion, five hundred ninety-seven billion, five hundred six million, five hundred sixty-four thousand, one hundred".