10251423200 has 72 divisors (see below), whose sum is σ = 25043287752. Its totient is φ = 4097784320.

The previous prime is 10251423199. The next prime is 10251423211. The reversal of 10251423200 is 232415201.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1498187 + ... + 1505013.

It is an arithmetic number, because the mean of its divisors is an integer number (347823441).

Almost surely, 2^10251423200 is an apocalyptic number.

10251423200 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 10251423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521643876).

10251423200 is an abundant number, since it is smaller than the sum of its proper divisors (14791864552).

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

10251423200 is a wasteful number, since it uses less digits than its factorization.

10251423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8711 counting only the distinct ones).

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

Adding to 10251423200 its reverse (232415201), we get a palindrome (10483838401).

The spelling of 10251423200 in words is "ten billion, two hundred fifty-one million, four hundred twenty-three thousand, two hundred".