1086078706801 has 27 divisors (see below), whose sum is σ = 1268370223393. Its totient is φ = 929098459520.

The previous prime is 1086078706771. The next prime is 1086078706841.

The square root of 1086078706801 is 1042151.

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

1086078706801 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 83637218401 + 1002441488400 = 289201^2 + 1001220^2 .

It is not a de Polignac number, because 1086078706801 - 2⁹ = 1086078706289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1086078706841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194879451 + ... + 194885023.

Almost surely, 2^{1086078706801} is an apocalyptic number.

1086078706801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1086078706801 is the 1042151-st square number.

1086078706801 is the 521076-th centered octagonal number.

It is an amenable number.

1086078706801 is a deficient number, since it is larger than the sum of its proper divisors (182291516592).

1086078706801 is an frugal number, since it uses more digits than its factorization.

1086078706801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 1086078706801 in words is "one trillion, eighty-six billion, seventy-eight million, seven hundred six thousand, eight hundred one".