10903585056 has 576 divisors, whose sum is σ = 37902574080. Its totient is φ = 2717245440.

The previous prime is 10903585051. The next prime is 10903585061. The reversal of 10903585056 is 65058530901.

It is an interprime number because it is at equal distance from previous prime (10903585051) and next prime (10903585061).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10903584999 and 10903585017.

It is not an unprimeable number, because it can be changed into a prime (10903585051) 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 95 ways as a sum of consecutive naturals, for example, 138020025 + ... + 138020103.

It is an arithmetic number, because the mean of its divisors is an integer number (65803080).

Almost surely, 2^10903585056 is an apocalyptic number.

10903585056 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 10903585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951287040).

10903585056 is an abundant number, since it is smaller than the sum of its proper divisors (26998989024).

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

10903585056 is a wasteful number, since it uses less digits than its factorization.

10903585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 10903585056 in words is "ten billion, nine hundred three million, five hundred eighty-five thousand, fifty-six".