10876723200 has 672 divisors, whose sum is σ = 45830459520. Its totient is φ = 2477260800.

The previous prime is 10876723183. The next prime is 10876723213. The reversal of 10876723200 is 232767801.

It is a tau number, because it is divible by the number of its divisors (672).

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, 38707060 + ... + 38707340.

Almost surely, 2^10876723200 is an apocalyptic number.

10876723200 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 10876723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915229760).

10876723200 is an abundant number, since it is smaller than the sum of its proper divisors (34953736320).

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

10876723200 is an equidigital number, since it uses as much as digits as its factorization.

10876723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

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

The spelling of 10876723200 in words is "ten billion, eight hundred seventy-six million, seven hundred twenty-three thousand, two hundred".