10251344000 has 128 divisors (see below), whose sum is σ = 25582677120. Its totient is φ = 4085222400.

The previous prime is 10251343969. The next prime is 10251344057. The reversal of 10251344000 is 44315201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4910957 + ... + 4913043.

It is an arithmetic number, because the mean of its divisors is an integer number (199864665).

Almost surely, 2^10251344000 is an apocalyptic number.

10251344000 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 10251344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791338560).

10251344000 is an abundant number, since it is smaller than the sum of its proper divisors (15331333120).

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

10251344000 is an equidigital number, since it uses as much as digits as its factorization.

10251344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10251344000 its reverse (44315201), we get a palindrome (10295659201).

The spelling of 10251344000 in words is "ten billion, two hundred fifty-one million, three hundred forty-four thousand".