9895461324100 has 432 divisors, whose sum is σ = 25576922972160. Its totient is φ = 3309701472000.

The previous prime is 9895461324071. The next prime is 9895461324107. The reversal of 9895461324100 is 14231645989.

It is not an unprimeable number, because it can be changed into a prime (9895461324107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1372269495 + ... + 1372276705.

Almost surely, 2^{9895461324100} 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 9895461324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788461486080).

9895461324100 is an abundant number, since it is smaller than the sum of its proper divisors (15681461648060).

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

9895461324100 is a wasteful number, since it uses less digits than its factorization.

9895461324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 9895461324100 in words is "nine trillion, eight hundred ninety-five billion, four hundred sixty-one million, three hundred twenty-four thousand, one hundred".