82651027366800 has 90 divisors (see below), whose sum is σ = 286822023594002. Its totient is φ = 22040273963520.

The previous prime is 82651027366771. The next prime is 82651027366823. The reversal of 82651027366800 is 866372015628.

82651027366800 is a `hidden beast` number, since 8 + 26 + 510 + 27 + 3 + 6 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28108489441536 + 54542537925264 = 5301744^2 + 7385292^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11479305757 + ... + 11479312956.

Almost surely, 2^{82651027366800} is an apocalyptic number.

82651027366800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82651027366800 is an abundant number, since it is smaller than the sum of its proper divisors (204170996227202).

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

82651027366800 is a wasteful number, since it uses less digits than its factorization.

82651027366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22958618737 (or 22958618723 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82651027366800 in words is "eighty-two trillion, six hundred fifty-one billion, twenty-seven million, three hundred sixty-six thousand, eight hundred".