88206004224 has 156 divisors (see below), whose sum is σ = 274386672196. Its totient is φ = 27140161536.

The previous prime is 88206004223. The next prime is 88206004241. The reversal of 88206004224 is 42240060288.

It is a happy number.

88206004224 is a `hidden beast` number, since 8 + 8 + 2 + 0 + 600 + 42 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60303642624 + 27902361600 = 245568^2 + 167040^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88206004223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387204 + ... + 571260.

Almost surely, 2^88206004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88206004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137193336098).

88206004224 is an abundant number, since it is smaller than the sum of its proper divisors (186180667972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88206004224 is a wasteful number, since it uses less digits than its factorization.

88206004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184100 (or 184075 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 88206004224 in words is "eighty-eight billion, two hundred six million, four thousand, two hundred twenty-four".