10771390464 has 112 divisors (see below), whose sum is σ = 28992667440. Its totient is φ = 3556638720.

The previous prime is 10771390459. The next prime is 10771390489. The reversal of 10771390464 is 46409317701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676774 + ... + 2680794.

Almost surely, 2^10771390464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10771390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496333720).

10771390464 is an abundant number, since it is smaller than the sum of its proper divisors (18221276976).

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

10771390464 is an equidigital number, since it uses as much as digits as its factorization.

10771390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 10771390464 in words is "ten billion, seven hundred seventy-one million, three hundred ninety thousand, four hundred sixty-four".