11491067760 has 320 divisors, whose sum is σ = 38563008000. Its totient is φ = 2821754880.

The previous prime is 11491067639. The next prime is 11491067773. The reversal of 11491067760 is 6776019411.

It is a super-2 number, since 2×11491067760² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 30319251 + ... + 30319629.

It is an arithmetic number, because the mean of its divisors is an integer number (120509400).

Almost surely, 2^11491067760 is an apocalyptic number.

11491067760 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 11491067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281504000).

11491067760 is an abundant number, since it is smaller than the sum of its proper divisors (27071940240).

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

11491067760 is a wasteful number, since it uses less digits than its factorization.

11491067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 11491067760 in words is "eleven billion, four hundred ninety-one million, sixty-seven thousand, seven hundred sixty".