92880817280000 has 220 divisors, whose sum is σ = 232125215694372. Its totient is φ = 37134581760000.

The previous prime is 92880817279981. The next prime is 92880817280099. The reversal of 92880817280000 is 8271808829.

It can be written as a sum of positive squares in 10 ways, for example, as 86593000247296 + 6287817032704 = 9305536^2 + 2507552^2 .

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 19 ways as a sum of consecutive naturals, for example, 1383006422 + ... + 1383073578.

Almost surely, 2^{92880817280000} 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 92880817280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116062607847186).

92880817280000 is an abundant number, since it is smaller than the sum of its proper divisors (139244398414372).

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

92880817280000 is an equidigital number, since it uses as much as digits as its factorization.

92880817280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69358 (or 69325 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 92880817280000 in words is "ninety-two trillion, eight hundred eighty billion, eight hundred seventeen million, two hundred eighty thousand".