80385625600 has 480 divisors, whose sum is σ = 250131847680. Its totient is φ = 24962826240.

The previous prime is 80385625571. The next prime is 80385625609. The reversal of 80385625600 is 652658308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80385625609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39154174 + ... + 39156226.

It is an arithmetic number, because the mean of its divisors is an integer number (521108016).

Almost surely, 2^80385625600 is an apocalyptic number.

80385625600 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 80385625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125065923840).

80385625600 is an abundant number, since it is smaller than the sum of its proper divisors (169746222080).

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

80385625600 is a wasteful number, since it uses less digits than its factorization.

80385625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 80385625600 in words is "eighty billion, three hundred eighty-five million, six hundred twenty-five thousand, six hundred".