8042870820096 has 288 divisors, whose sum is σ = 27186756710400. Its totient is φ = 2297554606080.

The previous prime is 8042870820053. The next prime is 8042870820113. The reversal of 8042870820096 is 6900280782408.

8042870820096 is a `hidden beast` number, since 8 + 0 + 428 + 7 + 0 + 8 + 200 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365723661 + ... + 365745651.

It is an arithmetic number, because the mean of its divisors is an integer number (94398460800).

Almost surely, 2^{8042870820096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042870820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593378355200).

8042870820096 is an abundant number, since it is smaller than the sum of its proper divisors (19143885890304).

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

8042870820096 is a wasteful number, since it uses less digits than its factorization.

8042870820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29582 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8042870820096 in words is "eight trillion, forty-two billion, eight hundred seventy million, eight hundred twenty thousand, ninety-six".