82808985600 has 1296 divisors, whose sum is σ = 353966329080. Its totient is φ = 18284544000.

The previous prime is 82808985599. The next prime is 82808985601. The reversal of 82808985600 is 658980828.

82808985600 is a `hidden beast` number, since 8 + 28 + 0 + 8 + 9 + 8 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (82808985599) and next prime (82808985601).

It is a super-2 number, since 2×82808985600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82808985601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2671257585 + ... + 2671257615.

Almost surely, 2^82808985600 is an apocalyptic number.

82808985600 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 82808985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176983164540).

82808985600 is an abundant number, since it is smaller than the sum of its proper divisors (271157343480).

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

82808985600 is a wasteful number, since it uses less digits than its factorization.

82808985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 82808985600 in words is "eighty-two billion, eight hundred eight million, nine hundred eighty-five thousand, six hundred".