86406824225 has 12 divisors (see below), whose sum is σ = 108435361776. Its totient is φ = 68292620880.

The previous prime is 86406824221. The next prime is 86406824233. The reversal of 86406824225 is 52242860468.

It is not a de Polignac number, because 86406824225 - 2² = 86406824221 is a prime.

It is a super-2 number, since 2×86406824225² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86406824225.

It is not an unprimeable number, because it can be changed into a prime (86406824221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20818847 + ... + 20822996.

It is an arithmetic number, because the mean of its divisors is an integer number (9036280148).

Almost surely, 2^86406824225 is an apocalyptic number.

It is an amenable number.

86406824225 is a deficient number, since it is larger than the sum of its proper divisors (22028537551).

86406824225 is a wasteful number, since it uses less digits than its factorization.

86406824225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41641936 (or 41641931 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 86406824225 in words is "eighty-six billion, four hundred six million, eight hundred twenty-four thousand, two hundred twenty-five".