8042898296160 has 3072 divisors, whose sum is σ = 39072944332800. Its totient is φ = 1495189684224.

The previous prime is 8042898296137. The next prime is 8042898296219. The reversal of 8042898296160 is 616928982408.

8042898296160 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 8 + 9 + 8 + 2 + 9 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12316842394 + ... + 12316843046.

It is an arithmetic number, because the mean of its divisors is an integer number (12719057400).

Almost surely, 2^{8042898296160} is an apocalyptic number.

8042898296160 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 8042898296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536472166400).

8042898296160 is an abundant number, since it is smaller than the sum of its proper divisors (31030046036640).

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

8042898296160 is a wasteful number, since it uses less digits than its factorization.

8042898296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8042898296160 in words is "eight trillion, forty-two billion, eight hundred ninety-eight million, two hundred ninety-six thousand, one hundred sixty".