10816751040 has 112 divisors (see below), whose sum is σ = 34393144320. Its totient is φ = 2880271360.

The previous prime is 10816751039. The next prime is 10816751069. The reversal of 10816751040 is 4015761801.

It is a happy number.

It is a super-2 number, since 2×10816751040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10816750992 and 10816751010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682405 + ... + 698075.

Almost surely, 2^10816751040 is an apocalyptic number.

10816751040 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 10816751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196572160).

10816751040 is an abundant number, since it is smaller than the sum of its proper divisors (23576393280).

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

10816751040 is a wasteful number, since it uses less digits than its factorization.

10816751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16410 (or 16400 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10816751040 in words is "ten billion, eight hundred sixteen million, seven hundred fifty-one thousand, forty".