9816179788800 has 3960 divisors, whose sum is σ = 47841810094848. Its totient is φ = 1951041945600.

The previous prime is 9816179788729. The next prime is 9816179788817. The reversal of 9816179788800 is 88879716189.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a super-2 number, since 2×9816179788800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 359 ways as a sum of consecutive naturals, for example, 426790425589 + ... + 426790425611.

Almost surely, 2^{9816179788800} is an apocalyptic number.

9816179788800 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 9816179788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920905047424).

9816179788800 is an abundant number, since it is smaller than the sum of its proper divisors (38025630306048).

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

9816179788800 is an equidigital number, since it uses as much as digits as its factorization.

9816179788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 72.

The spelling of 9816179788800 in words is "nine trillion, eight hundred sixteen billion, one hundred seventy-nine million, seven hundred eighty-eight thousand, eight hundred".