11205464760 has 384 divisors, whose sum is σ = 43874887680. Its totient is φ = 2424812544.

The previous prime is 11205464749. The next prime is 11205464821. The reversal of 11205464760 is 6746450211.

11205464760 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 4 + 647 + 6 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 5968942 + ... + 5970818.

It is an arithmetic number, because the mean of its divisors is an integer number (114257520).

Almost surely, 2^11205464760 is an apocalyptic number.

11205464760 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 11205464760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21937443840).

11205464760 is an abundant number, since it is smaller than the sum of its proper divisors (32669422920).

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

11205464760 is a wasteful number, since it uses less digits than its factorization.

11205464760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11205464760 in words is "eleven billion, two hundred five million, four hundred sixty-four thousand, seven hundred sixty".