86270272200 has 972 divisors, whose sum is σ = 360700634385. Its totient is φ = 18422933760.

The previous prime is 86270272169. The next prime is 86270272213. The reversal of 86270272200 is 227207268.

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.

86270272200 is a `hidden beast` number, since 8 + 627 + 0 + 2 + 7 + 2 + 20 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84544866756 + 1725405444 = 290766^2 + 41538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=207690.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2006285379 + ... + 2006285421.

Almost surely, 2^86270272200 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 86270272200

86270272200 is an abundant number, since it is smaller than the sum of its proper divisors (274430362185).

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

86270272200 is a wasteful number, since it uses less digits than its factorization.

86270272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 86270272200 its reverse (227207268), we get a palindrome (86497479468).

The spelling of 86270272200 in words is "eighty-six billion, two hundred seventy million, two hundred seventy-two thousand, two hundred".