10253402544 has 240 divisors, whose sum is σ = 33599349504. Its totient is φ = 2637212160.

The previous prime is 10253402543. The next prime is 10253402567. The reversal of 10253402544 is 44520435201.

It is not an unprimeable number, because it can be changed into a prime (10253402543) 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, 4349014 + ... + 4351370.

Almost surely, 2^10253402544 is an apocalyptic number.

10253402544 is a gapful number since it is divisible by the number (14) 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 10253402544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799674752).

10253402544 is an abundant number, since it is smaller than the sum of its proper divisors (23345946960).

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

10253402544 is a wasteful number, since it uses less digits than its factorization.

10253402544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10253402544 its reverse (44520435201), we get a palindrome (54773837745).

The spelling of 10253402544 in words is "ten billion, two hundred fifty-three million, four hundred two thousand, five hundred forty-four".