11078069760 has 320 divisors, whose sum is σ = 39844949760. Its totient is φ = 2917048320.

The previous prime is 11078069729. The next prime is 11078069777. The reversal of 11078069760 is 6796087011.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5735995 + ... + 5737925.

It is an arithmetic number, because the mean of its divisors is an integer number (124515468).

Almost surely, 2^11078069760 is an apocalyptic number.

11078069760 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 11078069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922474880).

11078069760 is an abundant number, since it is smaller than the sum of its proper divisors (28766880000).

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

11078069760 is an equidigital number, since it uses as much as digits as its factorization.

11078069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11078069760 in words is "eleven billion, seventy-eight million, sixty-nine thousand, seven hundred sixty".