10716282720 has 1152 divisors, whose sum is σ = 47297779200. Its totient is φ = 2244464640.

The previous prime is 10716282691. The next prime is 10716282727. The reversal of 10716282720 is 2728261701.

10716282720 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 628 + 2 + 7 + 20 = 666.

It is a super-3 number, since 3×10716282720³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716282727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129111799 + ... + 129111881.

It is an arithmetic number, because the mean of its divisors is an integer number (41057100).

Almost surely, 2^10716282720 is an apocalyptic number.

10716282720 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 10716282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648889600).

10716282720 is an abundant number, since it is smaller than the sum of its proper divisors (36581496480).

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

10716282720 is a wasteful number, since it uses less digits than its factorization.

10716282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10716282720 in words is "ten billion, seven hundred sixteen million, two hundred eighty-two thousand, seven hundred twenty".