10945827200 has 384 divisors, whose sum is σ = 34823485440. Its totient is φ = 3299328000.

The previous prime is 10945827199. The next prime is 10945827239. The reversal of 10945827200 is 272854901.

It is a super-2 number, since 2×10945827200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7637684 + ... + 7639116.

It is an arithmetic number, because the mean of its divisors is an integer number (90686160).

Almost surely, 2^10945827200 is an apocalyptic number.

10945827200 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 10945827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411742720).

10945827200 is an abundant number, since it is smaller than the sum of its proper divisors (23877658240).

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

10945827200 is a wasteful number, since it uses less digits than its factorization.

10945827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10945827200 in words is "ten billion, nine hundred forty-five million, eight hundred twenty-seven thousand, two hundred".