9509955840000 has 2880 divisors, whose sum is σ = 43681305507840. Its totient is φ = 1935360000000.

The previous prime is 9509955839933. The next prime is 9509955840031. The reversal of 9509955840000 is 485599059.

9509955840000 is a `hidden beast` number, since 9 + 50 + 9 + 9 + 5 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62979839925 + ... + 62979840075.

It is an arithmetic number, because the mean of its divisors is an integer number (15167119968).

Almost surely, 2^{9509955840000} is an apocalyptic number.

9509955840000 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 9509955840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840652753920).

9509955840000 is an abundant number, since it is smaller than the sum of its proper divisors (34171349667840).

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

9509955840000 is a wasteful number, since it uses less digits than its factorization.

9509955840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 9509955840000 in words is "nine trillion, five hundred nine billion, nine hundred fifty-five million, eight hundred forty thousand".