70585862401 has 32 divisors (see below), whose sum is σ = 76056681888. Its totient is φ = 65275822080.

The previous prime is 70585862357. The next prime is 70585862411. The reversal of 70585862401 is 10426858507.

It is a Cunningham number, because it is equal to 265680²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 27415411776 + 43170450625 = 165576^2 + 207775^2 .

It is not a de Polignac number, because 70585862401 - 2²⁷ = 70451644673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (70585862411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167662171 + ... + 167662591.

It is an arithmetic number, because the mean of its divisors is an integer number (2376771309).

Almost surely, 2^70585862401 is an apocalyptic number.

It is an amenable number.

70585862401 is a deficient number, since it is larger than the sum of its proper divisors (5470819487).

70585862401 is a wasteful number, since it uses less digits than its factorization.

70585862401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 70585862401 in words is "seventy billion, five hundred eighty-five million, eight hundred sixty-two thousand, four hundred one".