11380706640 has 240 divisors, whose sum is σ = 41620550400. Its totient is φ = 2775886848.

The previous prime is 11380706581. The next prime is 11380706683. The reversal of 11380706640 is 4660708311.

11380706640 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 7 + 0 + 6 + 640 = 666.

11380706640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11380706595 and 11380706604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382377 + ... + 411063.

It is an arithmetic number, because the mean of its divisors is an integer number (173418960).

Almost surely, 2^11380706640 is an apocalyptic number.

11380706640 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 11380706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810275200).

11380706640 is an abundant number, since it is smaller than the sum of its proper divisors (30239843760).

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

11380706640 is a wasteful number, since it uses less digits than its factorization.

11380706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28754 (or 28745 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11380706640 in words is "eleven billion, three hundred eighty million, seven hundred six thousand, six hundred forty".