82660208400 has 1200 divisors, whose sum is σ = 391820457600. Its totient is φ = 16157491200.

The previous prime is 82660208399. The next prime is 82660208437. The reversal of 82660208400 is 480206628.

82660208400 is a `hidden beast` number, since 8 + 2 + 6 + 602 + 0 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42410626 + ... + 42412574.

It is an arithmetic number, because the mean of its divisors is an integer number (326517048).

Almost surely, 2^82660208400 is an apocalyptic number.

82660208400 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 82660208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910228800).

82660208400 is an abundant number, since it is smaller than the sum of its proper divisors (309160249200).

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

82660208400 is a wasteful number, since it uses less digits than its factorization.

82660208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 82660208400 in words is "eighty-two billion, six hundred sixty million, two hundred eight thousand, four hundred".