82205272800 has 216 divisors, whose sum is σ = 331287452496. Its totient is φ = 18789765120.

The previous prime is 82205272789. The next prime is 82205272819. The reversal of 82205272800 is 827250228.

It is a super-2 number, since 2×82205272800² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 765129 + ... + 865928.

It is an arithmetic number, because the mean of its divisors is an integer number (1533738206).

Almost surely, 2^82205272800 is an apocalyptic number.

82205272800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82205272800 is an abundant number, since it is smaller than the sum of its proper divisors (249082179696).

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

82205272800 is a wasteful number, since it uses less digits than its factorization.

82205272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631090 (or 1631074 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 82205272800 in words is "eighty-two billion, two hundred five million, two hundred seventy-two thousand, eight hundred".