10585897056 has 288 divisors, whose sum is σ = 35585222400. Its totient is φ = 2922531840.

The previous prime is 10585897031. The next prime is 10585897103. The reversal of 10585897056 is 65079858501.

10585897056 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 589 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10585897056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585896993 and 10585897011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7254855 + ... + 7256313.

It is an arithmetic number, because the mean of its divisors is an integer number (123559800).

Almost surely, 2^10585897056 is an apocalyptic number.

10585897056 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 10585897056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792611200).

10585897056 is an abundant number, since it is smaller than the sum of its proper divisors (24999325344).

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

10585897056 is a wasteful number, since it uses less digits than its factorization.

10585897056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 10585897056 in words is "ten billion, five hundred eighty-five million, eight hundred ninety-seven thousand, fifty-six".