11678780620800 has 756 divisors, whose sum is σ = 43433915305410. Its totient is φ = 3113704488960.

The previous prime is 11678780620777. The next prime is 11678780620849. The reversal of 11678780620800 is 802608787611.

It is a happy number.

11678780620800 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 8 + 7 + 8 + 0 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9631637766144 + 2047142854656 = 3103488^2 + 1430784^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388784756 + ... + 2388789644.

Almost surely, 2^{11678780620800} is an apocalyptic number.

11678780620800 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 11678780620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716957652705).

11678780620800 is an abundant number, since it is smaller than the sum of its proper divisors (31755134684610).

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

11678780620800 is an frugal number, since it uses more digits than its factorization.

11678780620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4899 counting only the distinct ones).

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

The spelling of 11678780620800 in words is "eleven trillion, six hundred seventy-eight billion, seven hundred eighty million, six hundred twenty thousand, eight hundred".