92225280000 has 960 divisors, whose sum is σ = 363519636480. Its totient is φ = 20348928000.

The previous prime is 92225279999. The next prime is 92225280011. The reversal of 92225280000 is 8252229.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 92225280000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1263359964 + ... + 1263360036.

It is an arithmetic number, because the mean of its divisors is an integer number (378666288).

Almost surely, 2^92225280000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92225280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181759818240).

92225280000 is an abundant number, since it is smaller than the sum of its proper divisors (271294356480).

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

92225280000 is an equidigital number, since it uses as much as digits as its factorization.

92225280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 92225280000 in words is "ninety-two billion, two hundred twenty-five million, two hundred eighty thousand".