83098229760 has 1584 divisors, whose sum is σ = 382240404000. Its totient is φ = 16498556928.

The previous prime is 83098229743. The next prime is 83098229761. The reversal of 83098229760 is 6792289038.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83098229697 and 83098229706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83098229761) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 557706166 + ... + 557706314.

Almost surely, 2^83098229760 is an apocalyptic number.

83098229760 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 83098229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191120202000).

83098229760 is an abundant number, since it is smaller than the sum of its proper divisors (299142174240).

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

83098229760 is a wasteful number, since it uses less digits than its factorization.

83098229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 83098229760 in words is "eighty-three billion, ninety-eight million, two hundred twenty-nine thousand, seven hundred sixty".