10811391077760 has 1536 divisors, whose sum is σ = 45894841574400. Its totient is φ = 2139572994048.

The previous prime is 10811391077749. The next prime is 10811391077771. The reversal of 10811391077760 is 6777019311801.

It is an interprime number because it is at equal distance from previous prime (10811391077749) and next prime (10811391077771).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2393487022 + ... + 2393491538.

It is an arithmetic number, because the mean of its divisors is an integer number (29879454150).

Almost surely, 2^{10811391077760} is an apocalyptic number.

10811391077760 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 10811391077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947420787200).

10811391077760 is an abundant number, since it is smaller than the sum of its proper divisors (35083450496640).

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

10811391077760 is a wasteful number, since it uses less digits than its factorization.

10811391077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 51.

The spelling of 10811391077760 in words is "ten trillion, eight hundred eleven billion, three hundred ninety-one million, seventy-seven thousand, seven hundred sixty".