9530890800900 has 144 divisors (see below), whose sum is σ = 31521164599680. Its totient is φ = 2178096307200.

The previous prime is 9530890800889. The next prime is 9530890800929. The reversal of 9530890800900 is 90080980359.

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 47 ways as a sum of consecutive naturals, for example, 11313496 + ... + 12126704.

Almost surely, 2^{9530890800900} 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 9530890800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760582299840).

9530890800900 is an abundant number, since it is smaller than the sum of its proper divisors (21990273798780).

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

9530890800900 is a wasteful number, since it uses less digits than its factorization.

9530890800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818814 (or 818807 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 9530890800900 in words is "nine trillion, five hundred thirty billion, eight hundred ninety million, eight hundred thousand, nine hundred".