9861336576000 has 3744 divisors, whose sum is σ = 46303401650688. Its totient is φ = 2049579417600.

The previous prime is 9861336575999. The next prime is 9861336576011. The reversal of 9861336576000 is 6756331689.

9861336576000 is a `hidden beast` number, since 9 + 8 + 61 + 3 + 3 + 6 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 147184127967 + ... + 147184128033.

It is an arithmetic number, because the mean of its divisors is an integer number (12367361552).

Almost surely, 2^{9861336576000} is an apocalyptic number.

9861336576000 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 9861336576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151700825344).

9861336576000 is an abundant number, since it is smaller than the sum of its proper divisors (36442065074688).

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

9861336576000 is an equidigital number, since it uses as much as digits as its factorization.

9861336576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9861336576000 in words is "nine trillion, eight hundred sixty-one billion, three hundred thirty-six million, five hundred seventy-six thousand".