10716217344 has 384 divisors, whose sum is σ = 36804456000. Its totient is φ = 2939682816.

The previous prime is 10716217331. The next prime is 10716217357. The reversal of 10716217344 is 44371261701.

It is an interprime number because it is at equal distance from previous prime (10716217331) and next prime (10716217357).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10716217344² (a number of 21 digits) contains 22 as substring.

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 = 10716217299 and 10716217308.

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 23 ways as a sum of consecutive naturals, for example, 59867047 + ... + 59867225.

Almost surely, 2^10716217344 is an apocalyptic number.

10716217344 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 10716217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402228000).

10716217344 is an abundant number, since it is smaller than the sum of its proper divisors (26088238656).

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

10716217344 is an equidigital number, since it uses as much as digits as its factorization.

10716217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10716217344 in words is "ten billion, seven hundred sixteen million, two hundred seventeen thousand, three hundred forty-four".