10723419200 has 168 divisors, whose sum is σ = 28571186952. Its totient is φ = 3937812480.

The previous prime is 10723419199. The next prime is 10723419227. The reversal of 10723419200 is 291432701.

It can be written as a sum of positive squares in 12 ways, for example, as 94633984 + 10628785216 = 9728^2 + 103096^2 .

It is a super-2 number, since 2×10723419200² (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 23 ways as a sum of consecutive naturals, for example, 4096292 + ... + 4098908.

It is an arithmetic number, because the mean of its divisors is an integer number (170066589).

Almost surely, 2^10723419200 is an apocalyptic number.

10723419200 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 10723419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285593476).

10723419200 is an abundant number, since it is smaller than the sum of its proper divisors (17847767752).

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

10723419200 is a wasteful number, since it uses less digits than its factorization.

10723419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 10723419200 in words is "ten billion, seven hundred twenty-three million, four hundred nineteen thousand, two hundred".