11077418880 has 384 divisors, whose sum is σ = 41931302400. Its totient is φ = 2672455680.

The previous prime is 11077418851. The next prime is 11077418921. The reversal of 11077418880 is 8881477011.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 22745997 + ... + 22746483.

It is an arithmetic number, because the mean of its divisors is an integer number (109196100).

Almost surely, 2^11077418880 is an apocalyptic number.

11077418880 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 11077418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20965651200).

11077418880 is an abundant number, since it is smaller than the sum of its proper divisors (30853883520).

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

11077418880 is a wasteful number, since it uses less digits than its factorization.

11077418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 867 counting only the distinct ones).

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

The spelling of 11077418880 in words is "eleven billion, seventy-seven million, four hundred eighteen thousand, eight hundred eighty".