80221569120 has 432 divisors, whose sum is σ = 347404429008. Its totient is φ = 16669255680.

The previous prime is 80221569097. The next prime is 80221569121. The reversal of 80221569120 is 2196512208.

80221569120 is a `hidden beast` number, since 80 + 2 + 2 + 1 + 569 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80221569121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 724482 + ... + 827838.

It is an arithmetic number, because the mean of its divisors is an integer number (804176919).

Almost surely, 2^80221569120 is an apocalyptic number.

80221569120 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 80221569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173702214504).

80221569120 is an abundant number, since it is smaller than the sum of its proper divisors (267182859888).

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

80221569120 is a wasteful number, since it uses less digits than its factorization.

80221569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103403 (or 103385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 80221569120 in words is "eighty billion, two hundred twenty-one million, five hundred sixty-nine thousand, one hundred twenty".