88208400200 has 36 divisors (see below), whose sum is σ = 205094296395. Its totient is φ = 35281680000.

The previous prime is 88208400193. The next prime is 88208400221. The reversal of 88208400200 is 200480288.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9863270596 + 78345129604 = 99314^2 + 279902^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=210010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4189700 + ... + 4210700.

Almost surely, 2^88208400200 is an apocalyptic number.

It is an amenable number.

88208400200 is an abundant number, since it is smaller than the sum of its proper divisors (116885896195).

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

88208400200 is an frugal number, since it uses more digits than its factorization.

88208400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42018 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Multiplying 88208400200 by its sum of digits (32), we get a square (2822668806400 = 1680080²).

Multiplying 88208400200 by its product of nonzero digits (8192), we get a square (722603214438400 = 26881280²).

Adding to 88208400200 its reverse (200480288), we get a palindrome (88408880488).

The spelling of 88208400200 in words is "eighty-eight billion, two hundred eight million, four hundred thousand, two hundred".