9995360256000 has 3840 divisors, whose sum is σ = 47108984832000. Its totient is φ = 2080899072000.

The previous prime is 9995360255977. The next prime is 9995360256029. The reversal of 9995360256000 is 6520635999.

9995360256000 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 3 + 6 + 0 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 322430975985 + ... + 322430976015.

It is an arithmetic number, because the mean of its divisors is an integer number (12267964800).

Almost surely, 2^{9995360256000} is an apocalyptic number.

9995360256000 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 9995360256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554492416000).

9995360256000 is an abundant number, since it is smaller than the sum of its proper divisors (37113624576000).

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

9995360256000 is an equidigital number, since it uses as much as digits as its factorization.

9995360256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 9995360256000 in words is "nine trillion, nine hundred ninety-five billion, three hundred sixty million, two hundred fifty-six thousand".