85627578001 has 32 divisors (see below), whose sum is σ = 104907564288. Its totient is φ = 68221440000.

The previous prime is 85627577993. The next prime is 85627578017. The reversal of 85627578001 is 10087572658.

It is not a de Polignac number, because 85627578001 - 2³ = 85627577993 is a prime.

It is a super-2 number, since 2×85627578001² (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 (85627578031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3794251 + ... + 3816751.

It is an arithmetic number, because the mean of its divisors is an integer number (3278361384).

Almost surely, 2^85627578001 is an apocalyptic number.

It is an amenable number.

85627578001 is a deficient number, since it is larger than the sum of its proper divisors (19279986287).

85627578001 is a wasteful number, since it uses less digits than its factorization.

85627578001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921.

The product of its (nonzero) digits is 940800, while the sum is 49.

It can be divided in two parts, 8562757 and 8001, that added together give a palindrome (8570758).

The spelling of 85627578001 in words is "eighty-five billion, six hundred twenty-seven million, five hundred seventy-eight thousand, one".