10351142560 has 96 divisors (see below), whose sum is σ = 26942315904. Its totient is φ = 3726720000.

The previous prime is 10351142539. The next prime is 10351142603. The reversal of 10351142560 is 6524115301.

10351142560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 148645 + ... + 206875.

It is an arithmetic number, because the mean of its divisors is an integer number (280649124).

Almost surely, 2^10351142560 is an apocalyptic number.

10351142560 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 10351142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471157952).

10351142560 is an abundant number, since it is smaller than the sum of its proper divisors (16591173344).

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

10351142560 is a wasteful number, since it uses less digits than its factorization.

10351142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58358 (or 58350 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 10351142560 its reverse (6524115301), we get a palindrome (16875257861).

The spelling of 10351142560 in words is "ten billion, three hundred fifty-one million, one hundred forty-two thousand, five hundred sixty".