10960709760 has 768 divisors, whose sum is σ = 50844568320. Its totient is φ = 2101248000.

The previous prime is 10960709729. The next prime is 10960709821. The reversal of 10960709760 is 6790706901.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 5764810 + ... + 5766710.

It is an arithmetic number, because the mean of its divisors is an integer number (66203865).

Almost surely, 2^10960709760 is an apocalyptic number.

10960709760 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 10960709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25422284160).

10960709760 is an abundant number, since it is smaller than the sum of its proper divisors (39883858560).

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

10960709760 is a wasteful number, since it uses less digits than its factorization.

10960709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 10960709760 in words is "ten billion, nine hundred sixty million, seven hundred nine thousand, seven hundred sixty".