8442882524160 has 1056 divisors, whose sum is σ = 35482209864192. Its totient is φ = 1812080885760.

The previous prime is 8442882524117. The next prime is 8442882524173. The reversal of 8442882524160 is 614252882448.

8442882524160 is a `hidden beast` number, since 8 + 4 + 4 + 28 + 82 + 524 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8442882524097 and 8442882524106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2758209030 + ... + 2758212090.

Almost surely, 2^{8442882524160} is an apocalyptic number.

8442882524160 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 8442882524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741104932096).

8442882524160 is an abundant number, since it is smaller than the sum of its proper divisors (27039327340032).

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

8442882524160 is a wasteful number, since it uses less digits than its factorization.

8442882524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 8442882524160 in words is "eight trillion, four hundred forty-two billion, eight hundred eighty-two million, five hundred twenty-four thousand, one hundred sixty".