10253440000 has 220 divisors, whose sum is σ = 26365875844. Its totient is φ = 3981312000.

The previous prime is 10253439971. The next prime is 10253440009. The reversal of 10253440000 is 4435201.

It can be written as a sum of positive squares in 10 ways, for example, as 7834374144 + 2419065856 = 88512^2 + 49184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10253440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23679784 + ... + 23680216.

Almost surely, 2^10253440000 is an apocalyptic number.

10253440000 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 10253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182937922).

10253440000 is an abundant number, since it is smaller than the sum of its proper divisors (16112435844).

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

10253440000 is an frugal number, since it uses more digits than its factorization.

10253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 10253440000 its reverse (4435201), we get a palindrome (10257875201).

It can be divided in two parts, 1025 and 3440000, that added together give a square (3441025 = 1855²).

The spelling of 10253440000 in words is "ten billion, two hundred fifty-three million, four hundred forty thousand".