8800161882720 has 384 divisors, whose sum is σ = 32016989491200. Its totient is φ = 2013461618688.

The previous prime is 8800161882703. The next prime is 8800161882751. The reversal of 8800161882720 is 272881610088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5583441 + ... + 6983919.

It is an arithmetic number, because the mean of its divisors is an integer number (83377576800).

Almost surely, 2^{8800161882720} is an apocalyptic number.

8800161882720 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 8800161882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008494745600).

8800161882720 is an abundant number, since it is smaller than the sum of its proper divisors (23216827608480).

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

8800161882720 is a wasteful number, since it uses less digits than its factorization.

8800161882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400582 (or 1400574 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 8800161882720 in words is "eight trillion, eight hundred billion, one hundred sixty-one million, eight hundred eighty-two thousand, seven hundred twenty".