8681151283200 has 1440 divisors, whose sum is σ = 35263226759040. Its totient is φ = 2102132736000.

The previous prime is 8681151283199. The next prime is 8681151283267. The reversal of 8681151283200 is 23821511868.

8681151283200 is a `hidden beast` number, since 86 + 81 + 15 + 1 + 283 + 200 = 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 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 95 ways as a sum of consecutive naturals, for example, 9853746760 + ... + 9853747640.

It is an arithmetic number, because the mean of its divisors is an integer number (24488351916).

Almost surely, 2^{8681151283200} is an apocalyptic number.

8681151283200 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 8681151283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631613379520).

8681151283200 is an abundant number, since it is smaller than the sum of its proper divisors (26582075475840).

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

8681151283200 is an frugal number, since it uses more digits than its factorization.

8681151283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 8681151283200 in words is "eight trillion, six hundred eighty-one billion, one hundred fifty-one million, two hundred eighty-three thousand, two hundred".