86589405825 has 48 divisors (see below), whose sum is σ = 160876786560. Its totient is φ = 40775201280.

The previous prime is 86589405823. The next prime is 86589405853. The reversal of 86589405825 is 52850498568.

It is a happy number.

It is not a de Polignac number, because 86589405825 - 2¹ = 86589405823 is a prime.

It is a super-2 number, since 2×86589405825² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86589405821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908220 + ... + 1953069.

It is an arithmetic number, because the mean of its divisors is an integer number (3351599720).

Almost surely, 2^86589405825 is an apocalyptic number.

It is an amenable number.

86589405825 is a deficient number, since it is larger than the sum of its proper divisors (74287380735).

86589405825 is a wasteful number, since it uses less digits than its factorization.

86589405825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861338 (or 3861333 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 86589405825 in words is "eighty-six billion, five hundred eighty-nine million, four hundred five thousand, eight hundred twenty-five".