83500960548996 has 27 divisors (see below), whose sum is σ = 211072011090213. Its totient is φ = 27833635240560.

The previous prime is 83500960548991. The next prime is 83500960549021. The reversal of 83500960548996 is 69984506900538.

The square root of 83500960548996 is 9137886.

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

83500960548996 is a `hidden beast` number, since 8 + 3 + 5 + 0 + 0 + 9 + 605 + 4 + 8 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83451623254596 + 49337294400 = 9135186^2 + 222120^2 .

It is not an unprimeable number, because it can be changed into a prime (83500960548991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54065826 + ... + 55588806.

Almost surely, 2^{83500960548996} is an apocalyptic number.

83500960548996 is the 9137886-th square number.

It is an amenable number.

83500960548996 is an abundant number, since it is smaller than the sum of its proper divisors (127571050541217).

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

83500960548996 is an frugal number, since it uses more digits than its factorization.

83500960548996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045972 (or 1522986 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 83500960548996 in words is "eighty-three trillion, five hundred billion, nine hundred sixty million, five hundred forty-eight thousand, nine hundred ninety-six".