8801297840160 has 768 divisors, whose sum is σ = 36395818905600. Its totient is φ = 1944655921152.

The previous prime is 8801297840141. The next prime is 8801297840161. The reversal of 8801297840160 is 610487921088.

8801297840160 is a `hidden beast` number, since 8 + 80 + 12 + 97 + 8 + 401 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8801297840097 and 8801297840106.

It is not an unprimeable number, because it can be changed into a prime (8801297840161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126096151 + ... + 126165929.

It is an arithmetic number, because the mean of its divisors is an integer number (47390389200).

Almost surely, 2^{8801297840160} is an apocalyptic number.

8801297840160 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 8801297840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197909452800).

8801297840160 is an abundant number, since it is smaller than the sum of its proper divisors (27594521065440).

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

8801297840160 is a wasteful number, since it uses less digits than its factorization.

8801297840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69950 (or 69936 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 8801297840160 in words is "eight trillion, eight hundred one billion, two hundred ninety-seven million, eight hundred forty thousand, one hundred sixty".