10816710928464 has 320 divisors, whose sum is σ = 33954283929600. Its totient is φ = 2901811820544.

The previous prime is 10816710928451. The next prime is 10816710928489. The reversal of 10816710928464 is 46482901761801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71825757 + ... + 71976195.

It is an arithmetic number, because the mean of its divisors is an integer number (106107137280).

Almost surely, 2^{10816710928464} is an apocalyptic number.

10816710928464 is a gapful number since it is divisible by the number (14) 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 10816710928464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977141964800).

10816710928464 is an abundant number, since it is smaller than the sum of its proper divisors (23137573001136).

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

10816710928464 is a wasteful number, since it uses less digits than its factorization.

10816710928464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150690 (or 150684 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 10816710928464 in words is "ten trillion, eight hundred sixteen billion, seven hundred ten million, nine hundred twenty-eight thousand, four hundred sixty-four".