10560001200 has 480 divisors, whose sum is σ = 40385986560. Its totient is φ = 2307916800.

The previous prime is 10560001187. The next prime is 10560001213. The reversal of 10560001200 is 210006501.

10560001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10560001187) and next prime (10560001213).

It is a super-2 number, since 2×10560001200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10560001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27862611 + ... + 27862989.

It is an arithmetic number, because the mean of its divisors is an integer number (84137472).

Almost surely, 2^10560001200 is an apocalyptic number.

10560001200 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 10560001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192993280).

10560001200 is an abundant number, since it is smaller than the sum of its proper divisors (29825985360).

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

10560001200 is a wasteful number, since it uses less digits than its factorization.

10560001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10560001200 its reverse (210006501), we get a palindrome (10770007701).

The spelling of 10560001200 in words is "ten billion, five hundred sixty million, one thousand, two hundred".