10720805760 has 512 divisors, whose sum is σ = 43687987200. Its totient is φ = 2433908736.

The previous prime is 10720805749. The next prime is 10720805773. The reversal of 10720805760 is 6750802701.

10720805760 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 80 + 576 + 0 = 666.

It is a super-2 number, since 2×10720805760² (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 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 63 ways as a sum of consecutive naturals, for example, 31812312 + ... + 31812648.

It is an arithmetic number, because the mean of its divisors is an integer number (85328100).

Almost surely, 2^10720805760 is an apocalyptic number.

10720805760 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 10720805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843993600).

10720805760 is an abundant number, since it is smaller than the sum of its proper divisors (32967181440).

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

10720805760 is a wasteful number, since it uses less digits than its factorization.

10720805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10720805760 in words is "ten billion, seven hundred twenty million, eight hundred five thousand, seven hundred sixty".