9665461585500 has 1536 divisors, whose sum is σ = 36072439603200. Its totient is φ = 1961791488000.

The previous prime is 9665461585453. The next prime is 9665461585567. The reversal of 9665461585500 is 55851645669.

It is a super-2 number, since 2×9665461585500² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 32987923354 + ... + 32987923646.

It is an arithmetic number, because the mean of its divisors is an integer number (23484661200).

Almost surely, 2^{9665461585500} 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 9665461585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036219801600).

9665461585500 is an abundant number, since it is smaller than the sum of its proper divisors (26406978017700).

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

9665461585500 is a wasteful number, since it uses less digits than its factorization.

9665461585500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 9665461585500 in words is "nine trillion, six hundred sixty-five billion, four hundred sixty-one million, five hundred eighty-five thousand, five hundred".