82663105827564 has 48 divisors (see below), whose sum is σ = 215853567081600. Its totient is φ = 27356135736528.

The previous prime is 82663105827527. The next prime is 82663105827647. The reversal of 82663105827564 is 46572850136628.

82663105827564 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 3 + 10 + 58 + 2 + 7 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2753219262 + ... + 2753249285.

It is an arithmetic number, because the mean of its divisors is an integer number (4496949314200).

Almost surely, 2^{82663105827564} is an apocalyptic number.

It is an amenable number.

82663105827564 is an abundant number, since it is smaller than the sum of its proper divisors (133190461254036).

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

82663105827564 is a wasteful number, since it uses less digits than its factorization.

82663105827564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506468699 (or 5506468691 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 82663105827564 in words is "eighty-two trillion, six hundred sixty-three billion, one hundred five million, eight hundred twenty-seven thousand, five hundred sixty-four".