80249944320 has 2304 divisors, whose sum is σ = 395587584000. Its totient is φ = 14906032128.

The previous prime is 80249944267. The next prime is 80249944343. The reversal of 80249944320 is 2344994208.

It is a happy number.

80249944320 is a `hidden beast` number, since 80 + 24 + 99 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 1015822041 + ... + 1015822119.

It is an arithmetic number, because the mean of its divisors is an integer number (171696000).

Almost surely, 2^80249944320 is an apocalyptic number.

80249944320 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 80249944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792000).

80249944320 is an abundant number, since it is smaller than the sum of its proper divisors (315337639680).

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

80249944320 is a wasteful number, since it uses less digits than its factorization.

80249944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80249944320 in words is "eighty billion, two hundred forty-nine million, nine hundred forty-four thousand, three hundred twenty".