11347731280 has 80 divisors (see below), whose sum is σ = 27124580880. Its totient is φ = 4411846656.

The previous prime is 11347731259. The next prime is 11347731289. The reversal of 11347731280 is 8213774311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 282374416 + 11065356864 = 16804^2 + 105192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11347731289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4939092 + ... + 4941388.

It is an arithmetic number, because the mean of its divisors is an integer number (339057261).

Almost surely, 2^11347731280 is an apocalyptic number.

11347731280 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 11347731280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562290440).

11347731280 is an abundant number, since it is smaller than the sum of its proper divisors (15776849600).

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

11347731280 is a wasteful number, since it uses less digits than its factorization.

11347731280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 11347731280 in words is "eleven billion, three hundred forty-seven million, seven hundred thirty-one thousand, two hundred eighty".