8800446080160 has 288 divisors, whose sum is σ = 36128147852160. Its totient is φ = 1905660463104.

The previous prime is 8800446080123. The next prime is 8800446080171. The reversal of 8800446080160 is 610806440088.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22783747 + ... + 23166786.

It is an arithmetic number, because the mean of its divisors is an integer number (125444957820).

Almost surely, 2^{8800446080160} is an apocalyptic number.

8800446080160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8800446080160 is an abundant number, since it is smaller than the sum of its proper divisors (27327701772000).

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

8800446080160 is a wasteful number, since it uses less digits than its factorization.

8800446080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45950580 (or 45950569 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 8800446080160 in words is "eight trillion, eight hundred billion, four hundred forty-six million, eighty thousand, one hundred sixty".