80205552000 has 1152 divisors, whose sum is σ = 348299995680. Its totient is φ = 18289152000.

The previous prime is 80205551989. The next prime is 80205552019. The reversal of 80205552000 is 25550208.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 190511790 + ... + 190512210.

Almost surely, 2^80205552000 is an apocalyptic number.

80205552000 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 80205552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174149997840).

80205552000 is an abundant number, since it is smaller than the sum of its proper divisors (268094443680).

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

80205552000 is an equidigital number, since it uses as much as digits as its factorization.

80205552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 80205552000 in words is "eighty billion, two hundred five million, five hundred fifty-two thousand".