10873468200 has 384 divisors, whose sum is σ = 41033088000. Its totient is φ = 2326579200.

The previous prime is 10873468157. The next prime is 10873468261. The reversal of 10873468200 is 286437801.

It is a super-2 number, since 2×10873468200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7101435 + ... + 7102965.

It is an arithmetic number, because the mean of its divisors is an integer number (106857000).

Almost surely, 2^10873468200 is an apocalyptic number.

10873468200 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 10873468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20516544000).

10873468200 is an abundant number, since it is smaller than the sum of its proper divisors (30159619800).

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

10873468200 is a wasteful number, since it uses less digits than its factorization.

10873468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10873468200 in words is "ten billion, eight hundred seventy-three million, four hundred sixty-eight thousand, two hundred".