10514444000 has 96 divisors (see below), whose sum is σ = 26220239136. Its totient is φ = 4142899200.

The previous prime is 10514443993. The next prime is 10514444011. The reversal of 10514444000 is 44441501.

It is a happy number.

It is a super-2 number, since 2×10514444000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248384 + ... + 287616.

It is an arithmetic number, because the mean of its divisors is an integer number (273127491).

Almost surely, 2^10514444000 is an apocalyptic number.

10514444000 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 10514444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110119568).

10514444000 is an abundant number, since it is smaller than the sum of its proper divisors (15705795136).

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

10514444000 is an equidigital number, since it uses as much as digits as its factorization.

10514444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39325 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10514444000 its reverse (44441501), we get a palindrome (10558885501).

The spelling of 10514444000 in words is "ten billion, five hundred fourteen million, four hundred forty-four thousand".