8197185484800 has 1728 divisors, whose sum is σ = 33380644752000. Its totient is φ = 1981260103680.

The previous prime is 8197185484759. The next prime is 8197185484843. The reversal of 8197185484800 is 84845817918.

8197185484800 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 1 + 8 + 548 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×8197185484800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 9542706771 + ... + 9542707629.

It is an arithmetic number, because the mean of its divisors is an integer number (19317502750).

Almost surely, 2^{8197185484800} is an apocalyptic number.

8197185484800 is a gapful number since it is divisible by the number (80) 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 8197185484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690322376000).

8197185484800 is an abundant number, since it is smaller than the sum of its proper divisors (25183459267200).

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

8197185484800 is a wasteful number, since it uses less digits than its factorization.

8197185484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 8197185484800 in words is "eight trillion, one hundred ninety-seven billion, one hundred eighty-five million, four hundred eighty-four thousand, eight hundred".