10006225056 has 96 divisors (see below), whose sum is σ = 30720916800. Its totient is φ = 3159855360.

The previous prime is 10006225039. The next prime is 10006225057. The reversal of 10006225056 is 65052260001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10006225057) 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 15 ways as a sum of consecutive naturals, for example, 288355 + ... + 321186.

It is an arithmetic number, because the mean of its divisors is an integer number (320009550).

Almost surely, 2^10006225056 is an apocalyptic number.

10006225056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10006225056 is an abundant number, since it is smaller than the sum of its proper divisors (20714691744).

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

10006225056 is a wasteful number, since it uses less digits than its factorization.

10006225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609579 (or 609565 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10006225056 its reverse (65052260001), we get a palindrome (75058485057).

The spelling of 10006225056 in words is "ten billion, six million, two hundred twenty-five thousand, fifty-six".