10540052350010 has 96 divisors (see below), whose sum is σ = 20154086514576. Its totient is φ = 3965724748800.

The previous prime is 10540052349997. The next prime is 10540052350033. The reversal of 10540052350010 is 1005325004501.

It can be written as a sum of positive squares in 8 ways, for example, as 6539696342089 + 4000356007921 = 2557283^2 + 2000089^2 .

It is a super-2 number, since 2×10540052350010² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 363022454 + ... + 363051486.

Almost surely, 2^{10540052350010} is an apocalyptic number.

10540052350010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10540052350010 is a deficient number, since it is larger than the sum of its proper divisors (9614034164566).

10540052350010 is a wasteful number, since it uses less digits than its factorization.

10540052350010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 10540052350010 its reverse (1005325004501), we get a palindrome (11545377354511).

The spelling of 10540052350010 in words is "ten trillion, five hundred forty billion, fifty-two million, three hundred fifty thousand, ten".