11778713540480 has 128 divisors (see below), whose sum is σ = 28363707740160. Its totient is φ = 4677248665600.

The previous prime is 11778713540459. The next prime is 11778713540563. The reversal of 11778713540480 is 8404531787711.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 59921717 + ... + 60117963.

It is an arithmetic number, because the mean of its divisors is an integer number (221591466720).

Almost surely, 2^{11778713540480} is an apocalyptic number.

11778713540480 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 11778713540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181853870080).

11778713540480 is an abundant number, since it is smaller than the sum of its proper divisors (16584994199680).

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

11778713540480 is a wasteful number, since it uses less digits than its factorization.

11778713540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196948 (or 196936 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 56.

The spelling of 11778713540480 in words is "eleven trillion, seven hundred seventy-eight billion, seven hundred thirteen million, five hundred forty thousand, four hundred eighty".