11321456760 has 96 divisors (see below), whose sum is σ = 36812880000. Its totient is φ = 3017566464.

The previous prime is 11321456737. The next prime is 11321456761. The reversal of 11321456760 is 6765412311.

11321456760 is a `hidden beast` number, since 1 + 1 + 32 + 1 + 4 + 567 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321456761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857086 + ... + 870194.

It is an arithmetic number, because the mean of its divisors is an integer number (383467500).

Almost surely, 2^11321456760 is an apocalyptic number.

11321456760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11321456760 is an abundant number, since it is smaller than the sum of its proper divisors (25491423240).

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

11321456760 is a wasteful number, since it uses less digits than its factorization.

11321456760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15525 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11321456760 in words is "eleven billion, three hundred twenty-one million, four hundred fifty-six thousand, seven hundred sixty".