10224576000 has 640 divisors, whose sum is σ = 38786267520. Its totient is φ = 2654208000.

The previous prime is 10224575981. The next prime is 10224576007. The reversal of 10224576000 is 67542201.

10224576000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 57 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224576007) 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 63 ways as a sum of consecutive naturals, for example, 105407952 + ... + 105408048.

It is an arithmetic number, because the mean of its divisors is an integer number (60603543).

Almost surely, 2^10224576000 is an apocalyptic number.

10224576000 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 10224576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393133760).

10224576000 is an abundant number, since it is smaller than the sum of its proper divisors (28561691520).

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

10224576000 is an frugal number, since it uses more digits than its factorization.

10224576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10224576000 in words is "ten billion, two hundred twenty-four million, five hundred seventy-six thousand".