11013757440 has 640 divisors, whose sum is σ = 42543705600. Its totient is φ = 2427715584.

The previous prime is 11013757393. The next prime is 11013757451. The reversal of 11013757440 is 4475731011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97466824 + ... + 97466936.

It is an arithmetic number, because the mean of its divisors is an integer number (66474540).

Almost surely, 2^11013757440 is an apocalyptic number.

11013757440 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 11013757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21271852800).

11013757440 is an abundant number, since it is smaller than the sum of its proper divisors (31529948160).

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

11013757440 is an equidigital number, since it uses as much as digits as its factorization.

11013757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 11013757440 in words is "eleven billion, thirteen million, seven hundred fifty-seven thousand, four hundred forty".