80816628085200 has 720 divisors, whose sum is σ = 343854365662080. Its totient is φ = 17835389429760.

The previous prime is 80816628085189. The next prime is 80816628085223. The reversal of 80816628085200 is 258082661808.

It is a happy number.

80816628085200 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 6 + 628 + 0 + 8 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17683702 + ... + 21779498.

It is an arithmetic number, because the mean of its divisors is an integer number (477575507864).

Almost surely, 2^{80816628085200} is an apocalyptic number.

80816628085200 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 80816628085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171927182831040).

80816628085200 is an abundant number, since it is smaller than the sum of its proper divisors (263037737576880).

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

80816628085200 is a wasteful number, since it uses less digits than its factorization.

80816628085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095866 (or 4095843 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 80816628085200 in words is "eighty trillion, eight hundred sixteen billion, six hundred twenty-eight million, eighty-five thousand, two hundred".