10344160000 has 180 divisors, whose sum is σ = 27326558952. Its totient is φ = 3893248000.

The previous prime is 10344159997. The next prime is 10344160009. The reversal of 10344160000 is 6144301.

It is a happy number.

It is a super-2 number, since 2×10344160000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10344160000.

It is not an unprimeable number, because it can be changed into a prime (10344160009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2718099 + ... + 2721901.

Almost surely, 2^10344160000 is an apocalyptic number.

10344160000 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 10344160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663279476).

10344160000 is an abundant number, since it is smaller than the sum of its proper divisors (16982398952).

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

10344160000 is an frugal number, since it uses more digits than its factorization.

10344160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 10344160000 in words is "ten billion, three hundred forty-four million, one hundred sixty thousand".