80212953600 has 720 divisors, whose sum is σ = 325527602400. Its totient is φ = 18698895360.

The previous prime is 80212953599. The next prime is 80212953607. The reversal of 80212953600 is 635921208.

80212953600 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 295 + 360 + 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 (36).

It is not an unprimeable number, because it can be changed into a prime (80212953607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28452991 + ... + 28455809.

It is an arithmetic number, because the mean of its divisors is an integer number (452121670).

Almost surely, 2^80212953600 is an apocalyptic number.

80212953600 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 80212953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162763801200).

80212953600 is an abundant number, since it is smaller than the sum of its proper divisors (245314648800).

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

80212953600 is a wasteful number, since it uses less digits than its factorization.

80212953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 80212953600 in words is "eighty billion, two hundred twelve million, nine hundred fifty-three thousand, six hundred".