11802746880 has 336 divisors, whose sum is σ = 41449121064. Its totient is φ = 3106406400.

The previous prime is 11802746849. The next prime is 11802746887. The reversal of 11802746880 is 8864720811.

11802746880 is a `hidden beast` number, since 1 + 180 + 2 + 7 + 468 + 8 + 0 = 666.

11802746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9625964544 + 2176782336 = 98112^2 + 46656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11802746887) 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 23 ways as a sum of consecutive naturals, for example, 37232482 + ... + 37232798.

Almost surely, 2^11802746880 is an apocalyptic number.

11802746880 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 11802746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724560532).

11802746880 is an abundant number, since it is smaller than the sum of its proper divisors (29646374184).

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

11802746880 is a wasteful number, since it uses less digits than its factorization.

11802746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11802746880 in words is "eleven billion, eight hundred two million, seven hundred forty-six thousand, eight hundred eighty".