9861045630480 has 1200 divisors, whose sum is σ = 38208371382720. Its totient is φ = 2355127695360.

The previous prime is 9861045630431. The next prime is 9861045630673. The reversal of 9861045630480 is 840365401689.

9861045630480 is a `hidden beast` number, since 9 + 8 + 6 + 104 + 56 + 3 + 0 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18854771499 + ... + 18854772021.

Almost surely, 2^{9861045630480} is an apocalyptic number.

9861045630480 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 9861045630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104185691360).

9861045630480 is an abundant number, since it is smaller than the sum of its proper divisors (28347325752240).

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

9861045630480 is a wasteful number, since it uses less digits than its factorization.

9861045630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 9861045630480 in words is "nine trillion, eight hundred sixty-one billion, forty-five million, six hundred thirty thousand, four hundred eighty".