10816651440 has 640 divisors, whose sum is σ = 44979978240. Its totient is φ = 2336947200.

The previous prime is 10816651423. The next prime is 10816651457. The reversal of 10816651440 is 4415661801.

10816651440 is a `hidden beast` number, since 1 + 0 + 8 + 166 + 51 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10816651423) and next prime (10816651457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10816651395 and 10816651404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22029595 + ... + 22030085.

It is an arithmetic number, because the mean of its divisors is an integer number (70281216).

Almost surely, 2^10816651440 is an apocalyptic number.

10816651440 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 10816651440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489989120).

10816651440 is an abundant number, since it is smaller than the sum of its proper divisors (34163326800).

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

10816651440 is a wasteful number, since it uses less digits than its factorization.

10816651440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10816651440 in words is "ten billion, eight hundred sixteen million, six hundred fifty-one thousand, four hundred forty".