10540715216538 has 32 divisors (see below), whose sum is σ = 22708214952192. Its totient is φ = 3242563272000.

The previous prime is 10540715216497. The next prime is 10540715216579. The reversal of 10540715216538 is 83561251704501.

It is an interprime number because it is at equal distance from previous prime (10540715216497) and next prime (10540715216579).

It is a super-2 number, since 2×10540715216538² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14938738 + ... + 15628413.

It is an arithmetic number, because the mean of its divisors is an integer number (709631717256).

Almost surely, 2^{10540715216538} is an apocalyptic number.

10540715216538 is an abundant number, since it is smaller than the sum of its proper divisors (12167499735654).

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

10540715216538 is a wasteful number, since it uses less digits than its factorization.

10540715216538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30571590.

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 10540715216538 in words is "ten trillion, five hundred forty billion, seven hundred fifteen million, two hundred sixteen thousand, five hundred thirty-eight".