10053450144 has 144 divisors (see below), whose sum is σ = 29915488512. Its totient is φ = 3196537344.

The previous prime is 10053450101. The next prime is 10053450149. The reversal of 10053450144 is 44105435001.

It is a happy number.

10053450144 is a `hidden beast` number, since 100 + 53 + 4 + 501 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10053450149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2627817 + ... + 2631639.

It is an arithmetic number, because the mean of its divisors is an integer number (207746448).

Almost surely, 2^10053450144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957744256).

10053450144 is an abundant number, since it is smaller than the sum of its proper divisors (19862038368).

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

10053450144 is a wasteful number, since it uses less digits than its factorization.

10053450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10053450144 its reverse (44105435001), we get a palindrome (54158885145).

The spelling of 10053450144 in words is "ten billion, fifty-three million, four hundred fifty thousand, one hundred forty-four".