85727584001 has 4 divisors (see below), whose sum is σ = 85734652500. Its totient is φ = 85720515504.

The previous prime is 85727583983. The next prime is 85727584039. The reversal of 85727584001 is 10048572758.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52631242225 + 33096341776 = 229415^2 + 181924^2 .

It is a cyclic number.

It is not a de Polignac number, because 85727584001 - 2¹⁸ = 85727321857 is a prime.

It is a super-2 number, since 2×85727584001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85727584301) 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 3 ways as a sum of consecutive naturals, for example, 3516026 + ... + 3540323.

It is an arithmetic number, because the mean of its divisors is an integer number (21433663125).

Almost surely, 2^85727584001 is an apocalyptic number.

It is an amenable number.

85727584001 is a deficient number, since it is larger than the sum of its proper divisors (7068499).

85727584001 is a wasteful number, since it uses less digits than its factorization.

85727584001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068498.

The product of its (nonzero) digits is 627200, while the sum is 47.

The spelling of 85727584001 in words is "eighty-five billion, seven hundred twenty-seven million, five hundred eighty-four thousand, one".