96876628992001 has 16 divisors (see below), whose sum is σ = 99272408791248. Its totient is φ = 94482422784000.

The previous prime is 96876628991977. The next prime is 96876628992007. The reversal of 96876628992001 is 10029982667869.

It can be written as a sum of positive squares in 8 ways, for example, as 19334092673025 + 77542536318976 = 4397055^2 + 8805824^2 .

It is a cyclic number.

It is not a de Polignac number, because 96876628992001 - 2⁵ = 96876628991969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96876628992007) by changing a digit.

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, 1892206935 + ... + 1892258131.

It is an arithmetic number, because the mean of its divisors is an integer number (6204525549453).

Almost surely, 2^{96876628992001} is an apocalyptic number.

It is an amenable number.

96876628992001 is a deficient number, since it is larger than the sum of its proper divisors (2395779799247).

96876628992001 is a wasteful number, since it uses less digits than its factorization.

96876628992001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65652.

The product of its (nonzero) digits is 282175488, while the sum is 73.

The spelling of 96876628992001 in words is "ninety-six trillion, eight hundred seventy-six billion, six hundred twenty-eight million, nine hundred ninety-two thousand, one".