11772686880 has 192 divisors, whose sum is σ = 42625699200. Its totient is φ = 3031096320.

The previous prime is 11772686867. The next prime is 11772686897. The reversal of 11772686880 is 8868627711.

It is a happy number.

11772686880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78295 + ... + 172265.

It is an arithmetic number, because the mean of its divisors is an integer number (222008850).

Almost surely, 2^11772686880 is an apocalyptic number.

11772686880 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 11772686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312849600).

11772686880 is an abundant number, since it is smaller than the sum of its proper divisors (30853012320).

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

11772686880 is a wasteful number, since it uses less digits than its factorization.

11772686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94024 (or 94010 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 11772686880 in words is "eleven billion, seven hundred seventy-two million, six hundred eighty-six thousand, eight hundred eighty".