9650421285120 has 1152 divisors, whose sum is σ = 43223877365760. Its totient is φ = 2005237555200.

The previous prime is 9650421285091. The next prime is 9650421285139. The reversal of 9650421285120 is 215821240569.

9650421285120 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 4 + 2 + 128 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 215528335 + ... + 215573105.

It is an arithmetic number, because the mean of its divisors is an integer number (37520726880).

Almost surely, 2^{9650421285120} is an apocalyptic number.

9650421285120 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 9650421285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611938682880).

9650421285120 is an abundant number, since it is smaller than the sum of its proper divisors (33573456080640).

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

9650421285120 is an equidigital number, since it uses as much as digits as its factorization.

9650421285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44831 (or 44799 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 9650421285120 in words is "nine trillion, six hundred fifty billion, four hundred twenty-one million, two hundred eighty-five thousand, one hundred twenty".