11140778880 has 640 divisors, whose sum is σ = 49620764160. Its totient is φ = 2314137600.

The previous prime is 11140778879. The next prime is 11140778897. The reversal of 11140778880 is 8887704111.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 3990285 + ... + 3993075.

It is an arithmetic number, because the mean of its divisors is an integer number (77532444).

Almost surely, 2^11140778880 is an apocalyptic number.

11140778880 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 11140778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24810382080).

11140778880 is an abundant number, since it is smaller than the sum of its proper divisors (38479985280).

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

11140778880 is a wasteful number, since it uses less digits than its factorization.

11140778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 11140778880 in words is "eleven billion, one hundred forty million, seven hundred seventy-eight thousand, eight hundred eighty".