10625124800 has 84 divisors (see below), whose sum is σ = 26350813440. Its totient is φ = 4216504320.

The previous prime is 10625124787. The next prime is 10625124803. The reversal of 10625124800 is 842152601.

It is a super-2 number, since 2×10625124800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625124803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177056 + ... + 229344.

It is an arithmetic number, because the mean of its divisors is an integer number (313700160).

Almost surely, 2^10625124800 is an apocalyptic number.

10625124800 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 10625124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175406720).

10625124800 is an abundant number, since it is smaller than the sum of its proper divisors (15725688640).

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

10625124800 is a wasteful number, since it uses less digits than its factorization.

10625124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52438 (or 52423 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10625124800 in words is "ten billion, six hundred twenty-five million, one hundred twenty-four thousand, eight hundred".