10600056000 has 672 divisors, whose sum is σ = 40871046528. Its totient is φ = 2615500800.

The previous prime is 10600055993. The next prime is 10600056007. The reversal of 10600056000 is 65000601.

10600056000 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 0 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10600055993) and next prime (10600056007).

It is a super-2 number, since 2×10600056000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10600056007) 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, 61271914 + ... + 61272086.

Almost surely, 2^10600056000 is an apocalyptic number.

10600056000 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 10600056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435523264).

10600056000 is an abundant number, since it is smaller than the sum of its proper divisors (30270990528).

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

10600056000 is a wasteful number, since it uses less digits than its factorization.

10600056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10600056000 its reverse (65000601), we get a palindrome (10665056601).

The spelling of 10600056000 in words is "ten billion, six hundred million, fifty-six thousand".