10516915376808 has 128 divisors (see below), whose sum is σ = 27530787098880. Its totient is φ = 3341570918400.

The previous prime is 10516915376801. The next prime is 10516915376809. The reversal of 10516915376808 is 80867351961501.

It is a happy number.

It is a super-2 number, since 2×10516915376808² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10516915376801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881324410 + ... + 881336342.

It is an arithmetic number, because the mean of its divisors is an integer number (215084274210).

Almost surely, 2^{10516915376808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10516915376808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765393549440).

10516915376808 is an abundant number, since it is smaller than the sum of its proper divisors (17013871722072).

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

10516915376808 is a wasteful number, since it uses less digits than its factorization.

10516915376808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 10516915376808 in words is "ten trillion, five hundred sixteen billion, nine hundred fifteen million, three hundred seventy-six thousand, eight hundred eight".