11778755546800 has 240 divisors, whose sum is σ = 31730747102208. Its totient is φ = 4164799564800.

The previous prime is 11778755546791. The next prime is 11778755546813. The reversal of 11778755546800 is 864555787711.

It is a happy number.

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, 42052014 + ... + 42331186.

Almost surely, 2^{11778755546800} is an apocalyptic number.

11778755546800 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 11778755546800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865373551104).

11778755546800 is an abundant number, since it is smaller than the sum of its proper divisors (19951991555408).

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

11778755546800 is a wasteful number, since it uses less digits than its factorization.

11778755546800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279468 (or 279457 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 64.

The spelling of 11778755546800 in words is "eleven trillion, seven hundred seventy-eight billion, seven hundred fifty-five million, five hundred forty-six thousand, eight hundred".