10871893200 has 120 divisors (see below), whose sum is σ = 39801514048. Its totient is φ = 2485002240.

The previous prime is 10871893199. The next prime is 10871893213. The reversal of 10871893200 is 239817801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 638737 + ... + 655536.

Almost surely, 2^10871893200 is an apocalyptic number.

10871893200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10871893200 is an abundant number, since it is smaller than the sum of its proper divisors (28929620848).

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

10871893200 is a wasteful number, since it uses less digits than its factorization.

10871893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294301 (or 1294290 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10871893200 in words is "ten billion, eight hundred seventy-one million, eight hundred ninety-three thousand, two hundred".