80804528164800 has 672 divisors, whose sum is σ = 328813961583360. Its totient is φ = 19133414092800.

The previous prime is 80804528164783. The next prime is 80804528164807. The reversal of 80804528164800 is 846182540808.

80804528164800 is a `hidden beast` number, since 8 + 0 + 80 + 4 + 5 + 2 + 81 + 6 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80804528164807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18456354 + ... + 22410846.

Almost surely, 2^{80804528164800} is an apocalyptic number.

80804528164800 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 80804528164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164406980791680).

80804528164800 is an abundant number, since it is smaller than the sum of its proper divisors (248009433418560).

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

80804528164800 is a wasteful number, since it uses less digits than its factorization.

80804528164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954578 (or 3954557 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 80804528164800 in words is "eighty trillion, eight hundred four billion, five hundred twenty-eight million, one hundred sixty-four thousand, eight hundred".