82698211008 has 672 divisors, whose sum is σ = 295119552000. Its totient is φ = 22934596608.

The previous prime is 82698211007. The next prime is 82698211009. The reversal of 82698211008 is 80011289628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82698211007) and next prime (82698211009).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (82698211007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197370223 + ... + 197370641.

It is an arithmetic number, because the mean of its divisors is an integer number (439166000).

Almost surely, 2^82698211008 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 82698211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776000).

82698211008 is an abundant number, since it is smaller than the sum of its proper divisors (212421340992).

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

82698211008 is an equidigital number, since it uses as much as digits as its factorization.

82698211008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 82698211008 in words is "eighty-two billion, six hundred ninety-eight million, two hundred eleven thousand, eight".