82889038337280 has 864 divisors, whose sum is σ = 321455088864000. Its totient is φ = 17828131110912.

The previous prime is 82889038337279. The next prime is 82889038337317. The reversal of 82889038337280 is 8273383098828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1445819656 + ... + 1445876984.

It is an arithmetic number, because the mean of its divisors is an integer number (372054501000).

Almost surely, 2^{82889038337280} is an apocalyptic number.

82889038337280 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 82889038337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160727544432000).

82889038337280 is an abundant number, since it is smaller than the sum of its proper divisors (238566050526720).

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

82889038337280 is a wasteful number, since it uses less digits than its factorization.

82889038337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57547 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 82889038337280 in words is "eighty-two trillion, eight hundred eighty-nine billion, thirty-eight million, three hundred thirty-seven thousand, two hundred eighty".