80820224000 has 480 divisors, whose sum is σ = 222459095040. Its totient is φ = 29196288000.

The previous prime is 80820223997. The next prime is 80820224027. The reversal of 80820224000 is 42202808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206271967 + ... + 1206272033.

It is an arithmetic number, because the mean of its divisors is an integer number (463456448).

Almost surely, 2^80820224000 is an apocalyptic number.

80820224000 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 80820224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111229547520).

80820224000 is an abundant number, since it is smaller than the sum of its proper divisors (141638871040).

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

80820224000 is an equidigital number, since it uses as much as digits as its factorization.

80820224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 80820224000 its reverse (42202808), we get a palindrome (80862426808).

The spelling of 80820224000 in words is "eighty billion, eight hundred twenty million, two hundred twenty-four thousand".