10816000000 has 273 divisors, whose sum is σ = 29276051043. Its totient is φ = 3993600000.

The previous prime is 10815999977. The next prime is 10816000001. The reversal of 10816000000 is 61801.

The square root of 10816000000 is 104000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 5073997824 + 5742002176 = 71232^2 + 75776^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10816000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 831999994 + ... + 832000006.

Almost surely, 2^10816000000 is an apocalyptic number.

10816000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10816000000 is the 104000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816000000

10816000000 is an abundant number, since it is smaller than the sum of its proper divisors (18460051043).

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

10816000000 is an frugal number, since it uses more digits than its factorization.

10816000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Multiplying 10816000000 by its sum of digits (16), we get a square (173056000000 = 416000²).

10816000000 divided by its sum of digits (16) gives a square (676000000 = 26000²).

Adding to 10816000000 its reverse (61801), we get a palindrome (10816061801).

It can be divided in two parts, 108 and 16000000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 10816000000 in words is "ten billion, eight hundred sixteen million", and thus it is an aban number.