10144253520 has 240 divisors, whose sum is σ = 35981000640. Its totient is φ = 2554177536.

The previous prime is 10144253519. The next prime is 10144253527. The reversal of 10144253520 is 2535244101.

10144253520 is a `hidden beast` number, since 101 + 4 + 4 + 2 + 535 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144253527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4745892 + ... + 4748028.

It is an arithmetic number, because the mean of its divisors is an integer number (149920836).

Almost surely, 2^10144253520 is an apocalyptic number.

10144253520 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 10144253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990500320).

10144253520 is an abundant number, since it is smaller than the sum of its proper divisors (25836747120).

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

10144253520 is a wasteful number, since it uses less digits than its factorization.

10144253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

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

Adding to 10144253520 its reverse (2535244101), we get a palindrome (12679497621).

The spelling of 10144253520 in words is "ten billion, one hundred forty-four million, two hundred fifty-three thousand, five hundred twenty".