11761328880 has 720 divisors, whose sum is σ = 48347155584. Its totient is φ = 2552094720.

The previous prime is 11761328851. The next prime is 11761328881. The reversal of 11761328880 is 8882316711.

It is a happy number.

11761328880 is a `hidden beast` number, since 1 + 1 + 7 + 613 + 28 + 8 + 8 + 0 = 666.

11761328880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×11761328880³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11761328881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67984474 + ... + 67984646.

Almost surely, 2^11761328880 is an apocalyptic number.

11761328880 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 11761328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173577792).

11761328880 is an abundant number, since it is smaller than the sum of its proper divisors (36585826704).

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

11761328880 is a wasteful number, since it uses less digits than its factorization.

11761328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11761328880 in words is "eleven billion, seven hundred sixty-one million, three hundred twenty-eight thousand, eight hundred eighty".