82105842253680 has 240 divisors, whose sum is σ = 316156530353664. Its totient is φ = 18705918850560.

The previous prime is 82105842253657. The next prime is 82105842253783. The reversal of 82105842253680 is 8635224850128.

82105842253680 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 5 + 8 + 4 + 22 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×82105842253680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24985036 + ... + 28079595.

Almost surely, 2^{82105842253680} is an apocalyptic number.

82105842253680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82105842253680 is an abundant number, since it is smaller than the sum of its proper divisors (234050688099984).

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

82105842253680 is a wasteful number, since it uses less digits than its factorization.

82105842253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53064964 (or 53064955 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 82105842253680 in words is "eighty-two trillion, one hundred five billion, eight hundred forty-two million, two hundred fifty-three thousand, six hundred eighty".