10517010005490 has 128 divisors (see below), whose sum is σ = 25801005772800. Its totient is φ = 2742837292800.

The previous prime is 10517010005449. The next prime is 10517010005533. The reversal of 10517010005490 is 9450001071501.

It is a super-2 number, since 2×10517010005490² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585212205 + ... + 585230175.

It is an arithmetic number, because the mean of its divisors is an integer number (201570357600).

Almost surely, 2^{10517010005490} is an apocalyptic number.

10517010005490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517010005490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900502886400).

10517010005490 is an abundant number, since it is smaller than the sum of its proper divisors (15283995767310).

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

10517010005490 is a wasteful number, since it uses less digits than its factorization.

10517010005490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19848.

The product of its (nonzero) digits is 6300, while the sum is 33.

Adding to 10517010005490 its reverse (9450001071501), we get a palindrome (19967011076991).

The spelling of 10517010005490 in words is "ten trillion, five hundred seventeen billion, ten million, five thousand, four hundred ninety".