10960414864 has 45 divisors (see below), whose sum is σ = 24709482387. Its totient is φ = 4696064352.

The previous prime is 10960414753. The next prime is 10960414897. The reversal of 10960414864 is 46841406901.

The square root of 10960414864 is 104692.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10960414864.

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 8 ways as a sum of consecutive naturals, for example, 2929507 + ... + 2933245.

Almost surely, 2^10960414864 is an apocalyptic number.

10960414864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10960414864 is the 104692-nd square number.

It is an amenable number.

10960414864 is an abundant number, since it is smaller than the sum of its proper divisors (13749067523).

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

10960414864 is an frugal number, since it uses more digits than its factorization.

10960414864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 10960414864 in words is "ten billion, nine hundred sixty million, four hundred fourteen thousand, eight hundred sixty-four".