11766948480 has 384 divisors, whose sum is σ = 49171898880. Its totient is φ = 2531229696.

The previous prime is 11766948451. The next prime is 11766948503. The reversal of 11766948480 is 8484966711.

11766948480 is a `hidden beast` number, since 1 + 1 + 76 + 6 + 94 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11766948480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676857 + ... + 694023.

It is an arithmetic number, because the mean of its divisors is an integer number (128051820).

Almost surely, 2^11766948480 is an apocalyptic number.

11766948480 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 11766948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585949440).

11766948480 is an abundant number, since it is smaller than the sum of its proper divisors (37404950400).

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

11766948480 is a wasteful number, since it uses less digits than its factorization.

11766948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17216 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11766948480 in words is "eleven billion, seven hundred sixty-six million, nine hundred forty-eight thousand, four hundred eighty".