11790437760 has 448 divisors, whose sum is σ = 43466161680. Its totient is φ = 3054661632.

The previous prime is 11790437759. The next prime is 11790437779. The reversal of 11790437760 is 6773409711.

It is a happy number.

11790437760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 55 ways as a sum of consecutive naturals, for example, 17262379 + ... + 17263061.

Almost surely, 2^11790437760 is an apocalyptic number.

11790437760 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 11790437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733080840).

11790437760 is an abundant number, since it is smaller than the sum of its proper divisors (31675723920).

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

11790437760 is an frugal number, since it uses more digits than its factorization.

11790437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 11790437760 in words is "eleven billion, seven hundred ninety million, four hundred thirty-seven thousand, seven hundred sixty".