11728058080 has 24 divisors (see below), whose sum is σ = 27707537592. Its totient is φ = 4691223168.

The previous prime is 11728058071. The next prime is 11728058117. The reversal of 11728058080 is 8085082711.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36650022 + ... + 36650341.

It is an arithmetic number, because the mean of its divisors is an integer number (1154480733).

Almost surely, 2^11728058080 is an apocalyptic number.

11728058080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11728058080 is an abundant number, since it is smaller than the sum of its proper divisors (15979479512).

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

11728058080 is an equidigital number, since it uses as much as digits as its factorization.

11728058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73300378 (or 73300370 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 11728058080 in words is "eleven billion, seven hundred twenty-eight million, fifty-eight thousand, eighty".