11013377760 has 768 divisors, whose sum is σ = 48649144320. Its totient is φ = 2260500480.

The previous prime is 11013377741. The next prime is 11013377761. The reversal of 11013377760 is 6777331011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013377761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37588174 + ... + 37588466.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^11013377760 is an apocalyptic number.

11013377760 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 11013377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324572160).

11013377760 is an abundant number, since it is smaller than the sum of its proper divisors (37635766560).

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

11013377760 is a wasteful number, since it uses less digits than its factorization.

11013377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The spelling of 11013377760 in words is "eleven billion, thirteen million, three hundred seventy-seven thousand, seven hundred sixty".