11738079360 has 480 divisors, whose sum is σ = 48773239020. Its totient is φ = 2682408960.

The previous prime is 11738079349. The next prime is 11738079361. The reversal of 11738079360 is 6397083711.

It can be written as a sum of positive squares in 2 ways, for example, as 11524451904 + 213627456 = 107352^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11738079361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2537850 + ... + 2542470.

Almost surely, 2^11738079360 is an apocalyptic number.

11738079360 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 11738079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386619510).

11738079360 is an abundant number, since it is smaller than the sum of its proper divisors (37035159660).

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

11738079360 is an equidigital number, since it uses as much as digits as its factorization.

11738079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 11738079360 in words is "eleven billion, seven hundred thirty-eight million, seventy-nine thousand, three hundred sixty".