82126918608 has 320 divisors, whose sum is σ = 252065533440. Its totient is φ = 22560768000.

The previous prime is 82126918591. The next prime is 82126918637. The reversal of 82126918608 is 80681962128.

It is a super-4 number, since 4×82126918608⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200799108 + ... + 200799516.

It is an arithmetic number, because the mean of its divisors is an integer number (787704792).

Almost surely, 2^82126918608 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 82126918608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126032766720).

82126918608 is an abundant number, since it is smaller than the sum of its proper divisors (169938614832).

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

82126918608 is a wasteful number, since it uses less digits than its factorization.

82126918608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 82126918608 in words is "eighty-two billion, one hundred twenty-six million, nine hundred eighteen thousand, six hundred eight".