82050335050896 has 135 divisors (see below), whose sum is σ = 230234248128729. Its totient is φ = 27277972465536.

The previous prime is 82050335050883. The next prime is 82050335050949. The reversal of 82050335050896 is 69805053305028.

The square root of 82050335050896 is 9058164.

It is a perfect power (a square), and thus also a powerful number.

82050335050896 is a `hidden beast` number, since 8 + 2 + 0 + 50 + 3 + 3 + 505 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66722170436496 + 15328164614400 = 8168364^2 + 3915120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55327264971 + ... + 55327266453.

Almost surely, 2^{82050335050896} is an apocalyptic number.

82050335050896 is the 9058164-th square number.

It is an amenable number.

82050335050896 is an abundant number, since it is smaller than the sum of its proper divisors (148183913077833).

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

82050335050896 is an frugal number, since it uses more digits than its factorization.

82050335050896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 82050335050896 in words is "eighty-two trillion, fifty billion, three hundred thirty-five million, fifty thousand, eight hundred ninety-six".