9500958720000 has 2040 divisors, whose sum is σ = 39210445391040. Its totient is φ = 2270822400000.

The previous prime is 9500958719981. The next prime is 9500958720007. The reversal of 9500958720000 is 278590059.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9500958720007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133816319965 + ... + 133816320035.

Almost surely, 2^{9500958720000} is an apocalyptic number.

9500958720000 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 9500958720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605222695520).

9500958720000 is an abundant number, since it is smaller than the sum of its proper divisors (29709486671040).

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

9500958720000 is an frugal number, since it uses more digits than its factorization.

9500958720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 9500958720000 in words is "nine trillion, five hundred billion, nine hundred fifty-eight million, seven hundred twenty thousand".