8045180928000 has 1440 divisors, whose sum is σ = 30987652288320. Its totient is φ = 2059429478400.

The previous prime is 8045180927981. The next prime is 8045180928047. The reversal of 8045180928000 is 8290815408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 46503935914 + ... + 46503936086.

It is an arithmetic number, because the mean of its divisors is an integer number (21519202978).

Almost surely, 2^{8045180928000} is an apocalyptic number.

8045180928000 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 8045180928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493826144160).

8045180928000 is an abundant number, since it is smaller than the sum of its proper divisors (22942471360320).

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

8045180928000 is an equidigital number, since it uses as much as digits as its factorization.

8045180928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 8045180928000 in words is "eight trillion, forty-five billion, one hundred eighty million, nine hundred twenty-eight thousand".