82898092800 has 324 divisors, whose sum is σ = 313817180040. Its totient is φ = 20805550080.

The previous prime is 82898092787. The next prime is 82898092873. The reversal of 82898092800 is 829089828.

82898092800 is a `hidden beast` number, since 8 + 289 + 80 + 9 + 280 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 936871 + ... + 1021529.

Almost surely, 2^82898092800 is an apocalyptic number.

82898092800 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 82898092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156908590020).

82898092800 is an abundant number, since it is smaller than the sum of its proper divisors (230919087240).

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

82898092800 is a wasteful number, since it uses less digits than its factorization.

82898092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84708 (or 84686 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 82898092800 in words is "eighty-two billion, eight hundred ninety-eight million, ninety-two thousand, eight hundred".