9859221504000 has 1440 divisors, whose sum is σ = 40234508076672. Its totient is φ = 2388787200000.

The previous prime is 9859221503969. The next prime is 9859221504001. The reversal of 9859221504000 is 4051229589.

It is a happy number.

9859221504000 is a `hidden beast` number, since 9 + 8 + 5 + 92 + 2 + 150 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (9859221504001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5474303100 + ... + 5474304900.

Almost surely, 2^{9859221504000} is an apocalyptic number.

9859221504000 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 9859221504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117254038336).

9859221504000 is an abundant number, since it is smaller than the sum of its proper divisors (30375286572672).

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

9859221504000 is an equidigital number, since it uses as much as digits as its factorization.

9859221504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 9859221504000 in words is "nine trillion, eight hundred fifty-nine billion, two hundred twenty-one million, five hundred four thousand".