82201261876 has 48 divisors (see below), whose sum is σ = 153723830400. Its totient is φ = 38349324288.

The previous prime is 82201261847. The next prime is 82201261903. The reversal of 82201261876 is 67816210228.

It is a happy number.

It is a super-3 number, since 3×82201261876³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1714705 + ... + 1761991.

It is an arithmetic number, because the mean of its divisors is an integer number (3202579800).

Almost surely, 2^82201261876 is an apocalyptic number.

It is an amenable number.

82201261876 is a deficient number, since it is larger than the sum of its proper divisors (71522568524).

82201261876 is a wasteful number, since it uses less digits than its factorization.

82201261876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47656 (or 47654 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 82201261876 in words is "eighty-two billion, two hundred one million, two hundred sixty-one thousand, eight hundred seventy-six".