10004745056256 has 156 divisors (see below), whose sum is σ = 29126634031872. Its totient is φ = 3308654297088.

The previous prime is 10004745056219. The next prime is 10004745056269. The reversal of 10004745056256 is 65265054740001.

10004745056256 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 47 + 45 + 0 + 562 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3613240 + ... + 5750216.

It is an arithmetic number, because the mean of its divisors is an integer number (186709192512).

Almost surely, 2^{10004745056256} is an apocalyptic number.

10004745056256 is a gapful number since it is divisible by the number (16) 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 10004745056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563317015936).

10004745056256 is an abundant number, since it is smaller than the sum of its proper divisors (19121888975616).

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

10004745056256 is a wasteful number, since it uses less digits than its factorization.

10004745056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137134 (or 2137109 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

Adding to 10004745056256 its reverse (65265054740001), we get a palindrome (75269799796257).

The spelling of 10004745056256 in words is "ten trillion, four billion, seven hundred forty-five million, fifty-six thousand, two hundred fifty-six".