11781540320 has 96 divisors (see below), whose sum is σ = 30391998336. Its totient is φ = 4280281600.

The previous prime is 11781540307. The next prime is 11781540389. The reversal of 11781540320 is 2304518711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509175 + ... + 2513865.

It is an arithmetic number, because the mean of its divisors is an integer number (316583316).

Almost surely, 2^11781540320 is an apocalyptic number.

11781540320 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 11781540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195999168).

11781540320 is an abundant number, since it is smaller than the sum of its proper divisors (18610458016).

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

11781540320 is a wasteful number, since it uses less digits than its factorization.

11781540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 11781540320 in words is "eleven billion, seven hundred eighty-one million, five hundred forty thousand, three hundred twenty".