271864632200 has 324 divisors, whose sum is σ = 772012804815. Its totient is φ = 88768753920.

The previous prime is 271864632197. The next prime is 271864632233. The reversal of 271864632200 is 2236468172.

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 229262846596 + 42601785604 = 478814^2 + 206402^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=368690.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1187181686 + ... + 1187181914.

Almost surely, 2^271864632200 is an apocalyptic number.

271864632200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271864632200

271864632200 is an abundant number, since it is smaller than the sum of its proper divisors (500148172615).

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

271864632200 is a wasteful number, since it uses less digits than its factorization.

271864632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 271864632200 in words is "two hundred seventy-one billion, eight hundred sixty-four million, six hundred thirty-two thousand, two hundred".