82879054500 has 384 divisors, whose sum is σ = 293462507520. Its totient is φ = 17913600000.

The previous prime is 82879054493. The next prime is 82879054501. The reversal of 82879054500 is 545097828.

It is a super-3 number, since 3×82879054500³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82879054500.

It is not an unprimeable number, because it can be changed into a prime (82879054501) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5321725 + ... + 5337275.

It is an arithmetic number, because the mean of its divisors is an integer number (764225280).

Almost surely, 2^82879054500 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 82879054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146731253760).

82879054500 is an abundant number, since it is smaller than the sum of its proper divisors (210583453020).

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

82879054500 is a wasteful number, since it uses less digits than its factorization.

82879054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15620 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 82879054500 in words is "eighty-two billion, eight hundred seventy-nine million, fifty-four thousand, five hundred".