10872673200 has 240 divisors, whose sum is σ = 39008296960. Its totient is φ = 2876186880.

The previous prime is 10872673171. The next prime is 10872673213. The reversal of 10872673200 is 237627801.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1367637 + ... + 1375563.

Almost surely, 2^10872673200 is an apocalyptic number.

10872673200 is a gapful number since it is divisible by the number (10) 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 10872673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504148480).

10872673200 is an abundant number, since it is smaller than the sum of its proper divisors (28135623760).

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

10872673200 is a wasteful number, since it uses less digits than its factorization.

10872673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10872673200 in words is "ten billion, eight hundred seventy-two million, six hundred seventy-three thousand, two hundred".