8859842095104 has 1152 divisors, whose sum is σ = 34467456441600. Its totient is φ = 2117420974080.

The previous prime is 8859842095031. The next prime is 8859842095121. The reversal of 8859842095104 is 4015902489588.

8859842095104 is a `hidden beast` number, since 8 + 8 + 5 + 98 + 4 + 20 + 9 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7989036502 + ... + 7989037610.

It is an arithmetic number, because the mean of its divisors is an integer number (29919667050).

Almost surely, 2^{8859842095104} is an apocalyptic number.

8859842095104 is a gapful number since it is divisible by the number (84) 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 8859842095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233728220800).

8859842095104 is an abundant number, since it is smaller than the sum of its proper divisors (25607614346496).

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

8859842095104 is a wasteful number, since it uses less digits than its factorization.

8859842095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 8859842095104 in words is "eight trillion, eight hundred fifty-nine billion, eight hundred forty-two million, ninety-five thousand, one hundred four".