82228552000 has 224 divisors, whose sum is σ = 233422765056. Its totient is φ = 28108800000.

The previous prime is 82228551991. The next prime is 82228552031. The reversal of 82228552000 is 25582228.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 20550000 + ... + 20554000.

Almost surely, 2^82228552000 is an apocalyptic number.

82228552000 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 82228552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116711382528).

82228552000 is an abundant number, since it is smaller than the sum of its proper divisors (151194213056).

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

82228552000 is a wasteful number, since it uses less digits than its factorization.

82228552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 82228552000 in words is "eighty-two billion, two hundred twenty-eight million, five hundred fifty-two thousand".